Examining Fraction Value Determine which two whole numbers each problem lies between.

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1 Examining Fraction Value Determine which two whole numbers each problem lies between. ) ) ) ) ) ) ) ) Division as Fractions - Word Solve each problem. Make sure to write your answer as a fraction. ) A fast food restaurant had pounds of flour. If they split the flour evenly among batches of chicken, how much flour would each batch use? Between what two whole numbers does your answer lie? ) A teacher had packages of paper she wanted to split equally into piles. How much should be in each pile? Between what two whole numbers does your answer lie? ) A pet store had cats. If they wanted to split ounces of cat food amongst them, how much should each cat get? Between what two whole numbers does your answer lie? ) A toy store had boxes that weighed a total of kilograms. If each box had the same amount of weight, how much did each box weigh? Between what two whole numbers does your answer lie? ) ).. ) A doctor gave his patient liquid medicine and told him to drink cups over the next days. How much should the patient drink each day? Between what two whole numbers does your answer lie?.. ) ).. ) A blanket shop had feet of fabric. If they wanted to use the fabric to make blankets, each the same length, how long would each one be? Between what two whole numbers does your answer lie?. ) ) ) ).. ) Sam had collected leaves to feed to his caterpillar collection. If he wanted to split the leaves equally amongst the cages, how much should he put in each cage? Between what two whole numbers does your answer lie? ) ).. ) Downtown, artists were painting a mural that was feet long. If they split the canvas evenly, how much will each artist get to paint? Which two whole numbers does your answer lie between? ) ).. ) A farmer had acres he wanted to split amongst his children. If each child gets the same amount of land, how much should each one get? Between what two whole numbers does your answer lie?.. ) A sub sandwich maker had a sandwich that was meters long. If he wanted to cut the sub into pieces, each the same length, how long would each be? Between what two whole numbers does your answer lie?.

2 Fractions as Division Problems Solve each fraction as though it were a division problem. Write your answer as a fraction. Fractions as Division Problems Solve each fraction as though it were a division problem. Write your answer as a fraction. Ex. Ex..... ) = ) = ) =.. ) = ) = ) =.... ) = ) = ) =. ) = ) = ) =..... ) = ) = ) =. ) = ) = ) =... ) = ) = ) =.. ) = ) = ) =.... ) = ) = ) =. ) = ) = ) =.

3 Adding & Subtracting Fractions Solve each problem. Write your answer as a mixed number (if possible). Adding & Subtracting Fractions Solve each problem. Write your answer as a mixed number (if possible) ) LCM = LCM = ) - = + = - = + =.... ) LCM = LCM = ) - = + = - = + =.... LCM = LCM =. LCM = LCM =. ) - = - = ) + = + = ) - = - = ) + = + = ) LCM = LCM = - ) = + = - = + = ) LCM = LCM = - ) = + = - = + = LCM = LCM = ) ) - = + = - = + = LCM = LCM = ) ) - = + = - = + =

4 Combining Amounts (with Fractions) Adding & Subtracting Fractions Use the tables to answer each question. Solve each problem. ) The table below shows the capacity of several water coolers. ) The table below shows the weight of several vehicles... Cooler Capacity (in gallons) Cooler Car Weight (in tons) Car.. ) Adam bought a box of fruit that weighed kilograms. If he bought a second box that weighed kilograms, what is the combined weight of both boxes?.. Cooler Car.. Cooler Cooler What is the combined capacity of all the coolers? Car Car What is the combined weight of all the cars?.. ) Haley's class recycled boxes of paper in a month. If they recycled another boxes the next month was is the total amount they recycled?.. ) The table below shows the weight of several phones. ) The table below shows the weight of several books. ) On Monday Bianca spent hours studying. On Tuesday she spent another hours studying. What is the combined length of time she spent studying?. Phone Weight (in ounces) Book Weight (in ounces) ) Emily walked miles in the morning and another miles in the afternoon. What was the total distance she walked?.. Phone Phone Book Book ) A recipe called for using cups of flour before baking and another cups after baking. What is the total amount of flour needed in the recipe? Phone Book Phone What is the combined weight of all the phones? Book What is the combined weight of all the books? ) George bought a box of fruit that weighed kilograms. If he gave away kilograms of fruit to his friends, how many kilograms does he have left? ) The table below shows the length of several pieces of string. ) The table below shows how many milliliters of ink were in pens. ) A full garbage truck weighed tons. After dumping the garbage, the truck weighed tons. What was the weight of the garbage? String Length (in Inches) Pen Capacity (in milliliters) ) While exercising Cody travelled kilometers. If he walked kilometers and jogged the rest, how many kilometers did he jog? String String String String What is the combined length of all the strings? Pen Pen Pen Pen What is the combined capacity of all the pens? ) Victor jogged kilometers on Monday and kilometers on Tuesday. What is the difference between these two distances?

5 Solve each problem. Adding & Subtracting Fractions Multiplying Fractions (Visual) Use the box provided to show a visual example of how to multiply two fractions.. Ex) = ) = ) = Ex... ) In December it snowed inches. In January it snowed inches. What is the combined amount of snow for December and January?.... ) Isabel bought a bamboo plant that was feet high. After a month it had grown another feet. What was the total height of the plant after a month?.. ) Haley's new puppy weighed pounds. After a month it had gained pounds. What is the weight of the puppy after a month?.. ) = ) = ) =.. ) For Halloween, Maria received pounds of candy in the first hour and another.. pounds the second hour. How much candy did she get total?.. ) Gwen walked miles in the morning and another miles in the afternoon. What was the total distance she walked? ) = ) = ) =.. ) Rachel and her friend seeing who could pick up more bags of cans. Rachel picked up bags and her friend picked up bags. How much more did Rachel pick up, then her friend?. ) For Halloween, Janet received pounds of candy. After a week her family had eaten pounds. How many pounds of candy does she have left? ) A coach filled up a cooler with water until it weighed pounds. After the game the cooler weighed pounds. How many pounds lighter was the cooler after the game? ) = ) = ) = ) Kaleb drew a line that was inches long. If he drew a second line that was inches long, what is the difference between the length of the two lines?

6 Multiplying Fractions (Visual) Multiplying Fractions (Visual) Use the box provided to show a visual example of how to multiply two fractions. Use the box provided to show a visual example of how to multiply two fractions. Ex) = ) = ) = Ex. Ex) = ) = ) = Ex ) = ) = ) =. ) = ) = ) = ) = ) = ) =. ) = ) = ) =... ) = ) = ) = ) = ) = ) =

7 Solve each problem. Multiplying Fractions Solve each problem. Multiplying Fractions ) = = ) = =... ) = = ) = =..... ) = = ) = =.. ) = = ) = =.... ) = = ) = =.. ) = = ) = =.... ) = = ) = =.. ) = = ) = =.. ) = = ) = = ) = = ) = = ) = = ) = = ) = = ) = =

8 Finding Fraction Products Use 'More' or 'Less' to answer each question. Determine the answer using estimation. Estimating Multiplication of Fractions ) =? Will the product be more or less than? ) =? Will the product be more or less than? ) ) ) ) =? Will the product be more or less than? =? Will the product be more or less than? =? Will the product be more or less than? =? Will the product be more or less than?. Less. More. Less. More. More. More. More. More. More ) ) ) ) When multiplying a fraction and a whole number you can estimate the answer by remember that the fraction is just part of a number. / = In the example above, / is larger than but less than. So we know the answer is going to be between and. / = / The actual answer is / which is between () and (). = A. B. C. D. = A. B. C. D. = A. B. C. D. = A. B. C. D.. C. D. B. A. B. D. B. D. D ) ) ) ) =? Will the product be more or less than? =? Will the product be more or less than? =? Will the product be more or less than? =? Will the product be more or less than?. Less. More. Less. Less ) ) ) ) ) = A. B. C. D. = A. B. C. D. = A. B. C. D. = A. B. C. D. = A. B. C. D.. D. B. B ) =? Will the product be more or less than? ) = A. B. C. D. ) =? Will the product be more or less than? ) = A. B. C. D. ) =? Will the product be more or less than? ) = A. B. C. D.

9 Fraction Word Problems Solve each problem. Write your answer as a mixed number (if possible). Fraction Word Problems Solve each problem. Write your answer as a mixed number (if possible) ) Robin needed feet of thread to finish a pillow she was making. If she has times as much thread as she needs, what is the length of the thread she has?. ) An adult turtle weighed ounces. How much would adult turtles weigh?. ) A single box of thumb tacks weighed ounces. If a teacher had boxes, how much would their combined weight be?.. ) A new washing machine used gallons of water per full load to clean clothes. If John washed loads of clothes, how many gallons of water would be used?.. ) Chloe collected times as many bags of cans as her friend. If her friend collected of a bag, how much did Chloe collect?. ) On Halloween friends each received of a pound of candy. How much candy did they receive total?... ) At the malt shop a large chocolate shake takes of a pint of milk. If the medium shake takes the amount of a large, how much does the medium shake take?. ) On Monday Ned picked up of a pound of cans to recycle. On Tuesday he picked up that amount. How many pounds did Ned pick up on Tuesday?. ) A bottle of soda had of the daily recommended sugar. If you were to drink of the bottle, how much of the daily recommend sugar would you have drank?. ) An old wooden post was feet long. If you were to cut off of it, how much would you have cut off?. ) A soda shop owner told his employee to add full cups and of a cup of syrup to each gallon of soda. If there were gallons of soda, how much syrup would be needed? ) A restaurant had full boxes of spoons and of a box. If each full box weighed kilograms, what is the combined weight of the boxes the restaurant has? ) Adam had a lump of silly putty that was inches long. If he stretched it out to times its current length how long would it be? ) A batch of chicken required cups of flour. If a fast food restaurant was making batches, how much flour would they need? ) A musician's hair was originally inches long. She asked her hair dresser to cut of it off. How many inches did she have cut off? ) A water pitcher could hold of a gallon of water. If Paul filled up pitchers, how much water would he have? ) After a party there was of a pizza leftover. If the George gave of the leftover to Olivia, what fraction of the pizza did he give to her? ) Will picked a pound of apples, but of them were bad. Of the apples Will picked, how many pounds were bad? ) A geologist had two rocks on a scale that weighed lbs together. Rock A was of the total weight. How much did rock A weigh? ) A full tub of water weighed pounds. If the tub were filled up only full, how much would it weigh?

10 / =? Dividing Unit Fractions (Visual) Use the box to show a visual example of how to divide a fraction and a whole number. Split the whole into pieces and fill in section. Next split / into groups. To figure out the size of each piece in comparison to the whole, split the whole into groups.. / =? Dividing Unit Fractions (Visual) Use the box to show a visual example of how to divide a fraction and a whole number. Split the whole into pieces and fill in section. Next split / into groups. To figure out the size of each piece in comparison to the whole, split the whole into groups.... To solve, start with a whole. Now you can see the size of /. This shows the size of each piece. Each piece is / of the whole. Or: / = /. To solve, start with a whole. Now you can see the size of /. This shows the size of each piece. Each piece is / of the whole. Or: / = /. ) = ) = ) =.. ) = ) = ) = ) = ) = ) =.. ) = ) = ) = ) = ) = ) =. ) = ) = ) =. ) = ) = ) = ) = ) = ) =

11 Dividing Unit Fractions (Visual) Division Relative to Multiplication (Fractions) Use the box to show a visual example of how to divide a fraction and a whole number. Determine the number that correctly completes both equations. / =? Split the whole into pieces and fill in section. Next split / into groups. To figure out the size of each piece in comparison to the whole, split the whole into groups.. Ex) =? ) =? ) =? Ex..? =? =? =. To solve, start with a whole. Now you can see the size of /. This shows the size of each piece. Each piece is / of the whole. Or: / = /.. ) = ) = ) =.. ) =?? = ) =?? = ) =?? =..... ) =? ) =? ) =?. ) = ) = ) =..? =? =? =.... ) =? ) =? ) =?..? =? =? = ) = ) = ) =. ) =? ) =? ) =?...? =? =? =.. ) = ) = ) = ) =? ) =? ) =?.? =? =? =.

12 Division Relative to Multiplication (Fractions) Dividing with a Numberline Determine the number that correctly completes both equations. Ex) =?? = ) =?? = ) =?? = Ex.. Use the numberline to solve each problem. The first is marked for you. )... ). ) =? ) =? ) =?..? =? =? =. )... ) =? ) =? ) =?. ).? =? =? =.. ) =?? = ) =? ) =?? = ) =? ) =?? = ) =? ) ) ).? =? =? =. ) =? ) =? ) =?.. )? =? =? =. )

13 Dividing with a Numberline Dividing Unit Fractions with a Numberline Use the numberline to solve each problem. The first is marked for you. Use the numberline to solve each problem. The first is marked for you. ).. ).. ). )... ). )... ). )... ). ). ) ) ) ) ) ) ) )

14 Dividing Unit Fractions with a Numberline Dividing Unit Fractions Use the numberline to solve each problem. The first is marked for you. Solve each problem. Write your answer as a mixed number (if possible). ) )... ) = = ) = = ) = =..... ).. ) = = ) = = ) = =.. ) ) )... ) = = ) = = ) = = ) = = ) = = ) = = ) ) ) = = ) = = ) = =... ) = ) = ) =. ) = = =.

15 Dividing Unit Fractions Solve each problem. Write your answer as a mixed number (if possible). Dividing by Unit Fractions (Visual) Solve each problem by marking off the fractions. The first is completed for you. ) = = ) = = ) = =... ) =? This is the same as saying: How many are there in wholes? Whole Whole Whole ) = Whole Whole Whole Whole... ) = = ) = = ) = =... ) = Whole Whole Whole Whole Whole ) =.... Whole Whole Whole Whole Whole. ) = = ) = = ) = =.. ) = Whole Whole Whole... ) =. ) = ) = ) =. Whole Whole Whole Whole Whole Whole = = =. ) = Whole Whole. ) = = ) = = ) = =... ) = Whole Whole Whole Whole Whole Whole ) = Whole Whole Whole Whole Whole ) = = ) = = ) = =.. ) = Whole Whole Whole Whole Whole

16 Dividing by Unit Fractions (Visual) Solve each problem by marking off the fractions. The first is completed for you. ) =? This is the same as saying: How many are there in wholes? Whole Whole Whole Whole Whole Whole ) = Whole Whole ) = Whole Whole Whole Whole Whole ) = ) ) ) Dividing with a Numberline Use the numberline to solve each problem. The first is marked for you Whole Whole Whole Whole Whole Whole ) = Whole Whole Whole ) = Whole Whole Whole Whole Whole.... ) )... ) = Whole Whole ) ) = Whole Whole Whole Whole ) ) = Whole Whole Whole Whole Whole Whole ) = Whole Whole Whole ) )

17 Dividing Unit Fractions Dividing Unit Fractions Solve each problem. Write your answer as a mixed number (if possible). Solve each problem. Write your answer as a mixed number (if possible). ) = = ) = = ) = =... ) = = ) = = ) = =... ) = = ) = = ) = =... ) = = ) = = ) = =... ) = ) = ) =.. ) = ) = ) =.. = = =. = = =... ) = ) = ) =. ) = ) = ) =. = = =.. = = =.. ) = = ) = = ) = =... ) = = ) = = ) = =... ) = = ) = = ) = =.. ) = = ) = = ) = =..

18 Solve each problem. Unit Fraction Word Problems Solve each problem. Unit Fraction Word Problems.... ) How many cup servings are in cups of pecans?.. ) A moving company had of a ton of weight to move across town. If they wanted to split it equally amongst trips, how much weight would they have on each trip?.. ) A pet store had cats to feed. If they only had of a bag of cat food and each cat got the same amount, what fraction of the bag would each cat get?. ) A glass of water was of a liter. How many glasses would it take to fill up a liter jug?. ) A farmer was dividing up his of an acre of land between his children. Since each child got the same amount of land, what fraction of the acre did each get?.. ) A chef used of a bag of potatoes for a meal. If the potatoes fed people, what fraction of the bag did each person get?.. ) A store had boxes of video games. How many days would it take to sell the games if each day they sold of a box?.. ) A bulldozer could carry of a ton of sand. If a park needed tons of sand, how many loads would the bulldozer need to carry?.. ) An artist was able to draw of a picture every hour. If he needed to paint pictures for an art show, how many hours would it take him?. ) Dave had to write pages for a book report. How many hours would it take him to write it if he wrote of a page each hour?. ) A moving company had of a ton of weight to move across town. If they wanted to split it equally amongst trips, how much weight would they have on each trip? ) A small book took of a ream of paper to make. How many books could be make with whole reams of paper? ) A malt shop used of a box of waffle cones every day they were open. How many days would whole boxes last them? ) A pet store had cats to feed. If they only had of a bag of cat food and each cat got the same amount, what fraction of the bag would each cat get? ) A glass of water was of a liter. How many glasses would it take to fill up a liter jug? ) A container of metal beams weighed of a ton. If every beam weighed the same amount, how heavy was each? ) A container of metal beams weighed of a ton. If every beam weighed the same amount, how heavy was each? ) Vanessa wanted her box of candy to last days. If the box weighs of pound, how much should she eat each day? ) An aquarium had tons of fish food. How many months would it take them to use it all if they used of a ton each month? ) A bakery used of a bag of chocolate chips to make batches of cookies. How much of the bag did they use for each batch?