Class 5 Fractions. Answer t he quest ions. For more such worksheets visit

Transcription

1 ID : in-5-fractions [] Class 5 Fractions For more such worksheets visit wwwedugaincom Answer t he quest ions () The table below shows the number of books read by f ive children in one month Name Number of books Divya? Shweta 9 Archana 20 Radha Neha 26 If Divya read books more than 3 of the total number of books read by the other f our children, then how many books did Divya read in a month? (2) Convert the f raction to decimal number (3) If sum of both diagonals are same, f ind the missing value () Shade the images to show the f ollowing f raction addition and and makes

2 (5) Sonia and Vinayak have bookshelves of the same size and holding books of the same sizes ID : in-5-fractions [2] Sonia's shelf is 2 f ull and Vinayak's shelf is 5 f ull If 28 more books of the same size are distributed among them, then they can f ill their shelves completely How many books does Vinayak have today? (6) Convert 598 as mixed f raction (simplif ication is not required) Choose correct answer(s) f rom given choice () Pranav's aunt lives 95 kilometers away f rom his house When he wants to visit his aunt, he travels of this distance by train and the rest by bus How many kilometers does he travels 5 by bus? a 3 b 82 c 2 d (8) Which kind of f raction can never be represented using the f ollowing type of f igure a Proper Fractions b Improper Fractions c Unlike f ractions d Like Fractions (9) The parking lot of the Fairground has a capacity of 66 cars On Sundays the ratio of occupied spots to empty spots in the parking lot was 5:6 The number of additional cars that could park there is a 32 b 336 c 32 d 3 (0) What is the multiplicative inverse of 53? a 53 b c 53 d 53

3 () Find the f ollowing: ID : in-5-fractions [3] 3 2 of a 5 c 22 3 b 2 3 d 23 3 Fill in the blanks (2) Write the f ollowing f ractions in the simplest f orm: A) B) C) D) E) F) (3) Balvinder had to pickup a f riend while going to school Balvinder walked 3 0 of a kilometer to his f riend's house Af ter that he walked 0 of a kilometer to reach school In all Balvinder walked kilometers () Following shape is made of several small cubes f raction of cubes are visible in the picture shown below (5) Add the f ollowing f ractions and reduce them to the simplest f orm: A) + 2 B) C)

4 ID : in-5-fractions [] D) E) F) Edugain (wwwedugaincom) All Rights Reserved Many more such worksheets can be generated at wwwedugaincom

5 Answers ID : in-5-fractions [5] () 2 Step Total number of books read by Shweta, Archana, Radha and Neha, It is given that Divya reads books more than 3 of 69 Theref ore number of books read by Divya, books (2) 952 Step 95 2 is a mixed f raction A mixed f raction is a combination of a whole number and a 00 proper f raction In the mixed f raction , 95 is a whole number and 2 00 is a proper f raction To convert the mixed f raction into decimal, we shall f irst convert the proper f raction into a decimal number and add it to the whole number Step The proper f raction 2 00 can be written as a decimal number as 02 Adding the whole number 95 to the decimal number 02, we get 952 Step 5 Theref ore, the answer is 952

6 (3) 5 ID : in-5-fractions [6] 3 Step Lets f ind sum of top-right to bottom-lef t diagonal where all terms are known, Now lets f ind sum of all available terms in top-lef t to bottom-right diagonal, Since it is given that sum of both diagonals are same, missing terms must be equal to dif f erent of above two sum Theref ore missing term () and and makes

7 (5) 32 ID : in-5-fractions [] Step We f irst need to f ind out the total amount of empty space in both these shelves together Sonia has a 2 f ull shelf So, we need to f igure out what f raction is empty We can calculate that as - 2 Similarly Vinayak has - 5 f raction of his shelf empty Step Now we need to add these two together to f ind out the total f raction empty in these two shelves together Step 5 Now we are also told that if we distribute 28 among Sonia and Vinayak then the shelves will be f illed So the f raction of the shelves can be f illed using 28 books 0 Step 6 So we see that the total number of books that can be held in a shelf is So each shelf can hold 0 books Step We also know Vinayak has 5 of her shelf f illed So it's just a matter of f inding out the value of 0 x 5 32

8 (6) ID : in-5-fractions [8] Step In order to convert 598 as improper f raction, let us f irst look at its two parts: the whole number part which is 5 and the f ractional part which is 98 In the f ractional part 98, the decimal point is on the lef t of two digits Thus we can write it as proper f raction The number 598 can be written as a mixed f raction by combining the whole number 5 with the proper f raction as Step Thus 598 can be written as mixed f raction () b 82 Step The total distance between Pranav's house and his aunt s house 95 km : The distance Pranav travels by train 95 km 5 3 km 5 of 95 km In order to f ind the distance travelled by bus, let us subtract the total distance and the distance he traveled by train: Step Theref ore, Pranav traveled 82 km by bus to reach his aunt s house (8) b Improper Fractions

9 (9) b 336 ID : in-5-fractions [9] Step It is given that ratio of occupied spots to empty spots is 5:6, which means if there are ( 5 + 6) spots, 5 are occupied and 6 are empty But is given that total number of parking spots are 66 Theref ore total number of spots are 56 times ( 66/) of Theref ore available spots will also be 56 times of 6 Theref ore available parking spots, (0) d 53 Step Two number f ractions whose product is are called multiplicative inverse of each other Let us f irst write the whole number 53 into f ractions as 53 To get the multiplicative inverse, let us interchange the numerator and the denominator as 53 Step Hence, the multiplicative inverse of 53 is 53 A way to verif y our answer is to see that () b 2 3

10 ID : in-5-fractions [0] (2) A) Step A f raction is said to be in the simplest/lowest f orm if its numerator and the denominator have no common f actor higher than In other words, we can say that a f raction is said to be in the simplest/lowest f orm if the HCF of its numerator and denominator is equal to If f or any f raction, both the numerator and the denominator are divided by their HCF, the HCF of the new numerator and denominator will be This means that the new f raction will be in its simplest/lowest f orm In order to write the f raction HCF of 60 and 26: in the simplest/lowest f orm, let us f ind the Factors of Factors of The HCF of 60 and 26 is Step Now, let us divide both the numerator and denominator of the f raction its HCF 2 in order to bring it into its simplest/lowest f orm: by Step 5

11 ID : in-5-fractions [] Hence, the simplest/lowest f orm of is 5 8

12 ID : in-5-fractions [2] B) 9 Step A f raction is said to be in the simplest/lowest f orm if its numerator and the denominator have no common f actor higher than In other words, we can say that a f raction is said to be in the simplest/lowest f orm if the HCF of its numerator and denominator is equal to If f or any f raction, both the numerator and the denominator are divided by their HCF, the HCF of the new numerator and denominator will be This means that the new f raction will be in its simplest/lowest f orm In order to write the f raction HCF of and : Factors of Factors of 3 3 The HCF of and is Step in the simplest/lowest f orm, let us f ind the Now, let us divide both the numerator and denominator of the f raction its HCF in order to bring it into its simplest/lowest f orm: 9 Step 5 by Hence, the simplest/lowest f orm of is 9

13 ID : in-5-fractions [3] C) Step A f raction is said to be in the simplest/lowest f orm if its numerator and the denominator have no common f actor higher than In other words, we can say that a f raction is said to be in the simplest/lowest f orm if the HCF of its numerator and denominator is equal to If f or any f raction, both the numerator and the denominator are divided by their HCF, the HCF of the new numerator and denominator will be This means that the new f raction will be in its simplest/lowest f orm In order to write the f raction 8 8 HCF of 8 and 8: 2 8 in the simplest/lowest f orm, let us f ind the Factors of Factors of The HCF of 8 and 8 is Step Now, let us divide both the numerator and denominator of the f raction 8 its HCF 9 in order to bring it into its simplest/lowest f orm: by Step 5 Hence, the simplest/lowest f orm of 8 8 is 2 9

14 ID : in-5-fractions []

15 ID : in-5-fractions [5] E) 28 9 Step A f raction is said to be in the simplest/lowest f orm if its numerator and the denominator have no common f actor higher than In other words, we can say that a f raction is said to be in the simplest/lowest f orm if the HCF of its numerator and denominator is equal to If f or any f raction, both the numerator and the denominator are divided by their HCF, the HCF of the new numerator and denominator will be This means that the new f raction will be in its simplest/lowest f orm In order to write the f raction 28 HCF of 28 and : 2 28 in the simplest/lowest f orm, let us f ind the 2 Factors of Factors of 3 3 The HCF of 28 and is Step Now, let us divide both the numerator and denominator of the f raction 28 its HCF in order to bring it into its simplest/lowest f orm: by Step 5 Hence, the simplest/lowest f orm of 28 is 9

16 ID : in-5-fractions [6] F) Step A f raction is said to be in the simplest/lowest f orm if its numerator and the denominator have no common f actor higher than In other words, we can say that a f raction is said to be in the simplest/lowest f orm if the HCF of its numerator and denominator is equal to If f or any f raction, both the numerator and the denominator are divided by their HCF, the HCF of the new numerator and denominator will be This means that the new f raction will be in its simplest/lowest f orm In order to write the f raction HCF of 6 and 8: Factors of Factors of in the simplest/lowest f orm, let us f ind the The HCF of 6 and 8 is Step Now, let us divide both the numerator and denominator of the f raction its HCF 6 in order to bring it into its simplest/lowest f orm: Step by Hence, the simplest/lowest f orm of 6 8 is 3

17 (3) Balvinder had to pickup a f riend while going to school Balvinder walked 3 0 ID : in-5-fractions [] of a kilometer to his f riend's house Af ter that he walked 0 of a kilometer to reach school In all Balvinder walked 0 kilometers Step The distance covered by Balvinder to his f riend's house 3 0 of a kilometer The distance covered by Balvinder to school 0 of a kilometer Total distance covered by Balvinder while going to school Theref ore, he walked 0 kilometer in all () (5) A) B) C) D)

18 ID : in-5-fractions [8] E) F)