Let s Be Rational Practice Answers

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1 Investigation Additional Practice. a. fractions:,,,,, ;,,,,, ;,,,,,,,, ;,,,,, ;,,,,, ;,, ;, ;,, ;,,, ;,, ;,, c.,,. a., because each fraction is,., because each fraction is #. c., because each fraction is #. d., because each fraction is. e., because each fraction is.. f., because the first fraction 0 is. g., because,. h., because each fraction is,. 0. a. ; since is less than, adding will keep the sum less than. The other two options are less than, so those sums would not be as close to as the sum. ; is greater than and is greater than. Since is less than, the sum would be less than. c. ; is greater than. Both and, when added to, will be less than but will be closest to one without going over one. d. No solution. Since all the fractions are greater than, all of the sums are greater than. e. ; all of the fractions can be added to so that the sum is less than. Since is the greatest of the options, it will give the largest sum that is less than. f. ; is less than and is less than so is less than. The other two choices would give a sum greater than.. a. and ; and and c. None; all sums are too great. d. and e. and f. and ; and ; and. a. $ It would be better to overestimate to make sure they have enough money.. a. cups i. ii. iii. c.. a. c. Yes, there are enough seats, and are left for open seating.. a.,,, i. ii. iii. iv. c. ; it takes of the shaded grey regions to fill the entire rectangle.. a. c. d. e. f. For the sum of two unit fractions whose denominators are consecutive integers, the numerator of the sum is the sum of the two denominators. The denominator of the sum is the product of the two denominators.. a..,. Sum Greater than :, Sum Less than :,,, 0 0

2 Skill: Estimating With Fractions. ;. ; Sample answer:,,. Sample answer:,, Skill: Estimating With Mixed Numbers $ or $ Skill: Adding and Subtracting Fractions c. c.. yd Skill: Adding and Subtracting Mixed Numbers pounds 0. about $0 Investigation Additional Practice. a. Sample answer: miles Diagrams may vary. The exact answer is miles. c. Sample answer:. a., because of 0 is. c. ; I subtracted and from, which 0 represents all the people surveyed. d a. A,B,C, D,E,F $0 c. $0 d. $0 e. i. $0 ii.. a. cup; of. cup; of. c. No; Jane is increasing and decreasing different numbers by half ( and ),so the new sum will be different.. a. 0 Possible Answers: Since Paul s sister used of the roll, there is of of a roll left, so. Also, since of a 0 0 whole roll was used and there was of a whole roll initially,.. a. Equal; both products are. Equal; both products are or. c. Equal; both products are or. d. Equal; both products are. The numbers in the numerators and the denominators are the same in each problem but the placement of the numbers is different. Since you are multiplying the same numbers, the products are equal.. about, pounds.. a. c..,,,,

3 Skill: Multiplying Fractions cups Skill: Multiplying Mixed Numbers ft. cups; cups; cups; cups Investigation Additional Practice. a. ounces; Sample answer: There are sets of ounces, which is ounces for each loaf. This leaves two ounces left for the four loaves, which is ounce for each. So, Deb can use ounces per loaf.. milkshake: shakes double milkshake: double shakes triple milkshake: triple shakes. Group ; the students who share of a pizza ( ) will each get of the pizza. If you divide the amount of leftover pizza by the number of students in the other groups, you get: Group : of the pizza for each student. Group : of the pizza for each student.. a. 0 c. d. e. f. g. h. i.. When you divide fractions with common denominators, you only have to divide the numerators. The denominator is the size of the fraction you are working with. The numerator is the number of those size parts. For example, with divided by, eighths are the size of the fractional parts that you have. You are trying to find out how many times three-eighths will go into six-eighths. This is the same as asking how many times goes into.. a. Sam: complete signs. Trish: complete signs. Shanti: complete signs. Shanti has the most time remaining. Possible explanation: Shanti has of of an hour left over. This is hour or minutes left over. Sam has of hour left over or of an hour or minutes left over. Trish has no time left over.. 0 bows. a. c.. 0. :,, :, Skill: Dividing Fractions. ft..... ft servings ft ft

4 . Skill: Dividing Mixed Numbers servings. 0 times. min Investigation Additional Practice. a. c. d. e. f.. a.. a. 0 c. d. or N ; N N ; N ; N; N 0 0 e. or f. or g. or h. or ; ; ; ; ;, ; ; N ; N ; N; N N ; N; N ; N ; N ; N 0 c. d. e. f.. a. c. d. or e. or f. or g. h.. a. mile miles c. minutes. a. or cups or cups apple cider vinegar;. a. inches cup lemon juice 0 square inches. a..,, ; ; ; N ; N ; N ; N N ; N ; ; N; N N ; N ; N; N N ; N; N ; N. N or N or N Skill: Writing Number Sentences Sample number sentences for. N ; N. N ; N quart. N ; N bags

5 . N ; N miles. N (); N gallons. N ; N pounds. N; N cups. 0 N; N ; The number of whole sections is.