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

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$ID : ww-5-fractions [] Grade 5 Fractions For more such worksheets visit wwwedugaincom Answer t he quest ions () Shade the images to show the f ollowing f raction addition 7 + 3 3 and makes (2)$ lef t with him?

1 ID : ww-5-fractions [] Grade 5 Fractions For more such worksheets visit wwwedugaincom Answer t he quest ions () Shade the images to show the f ollowing f raction addition and makes (2) Steven has 20 tof f ees that he wants to distribute on his birthday He distributes 5 of these in the class Out of the remaining tof f ees, he distributes to his teachers How many tof f ees are lef t with him? (3) Write these decimal numbers in expanded f orm: (4) Lisa has $750 with her She gives 2 of this to her sister Out of the remaining money, she gives $350 to her brother What f raction of the original amount is lef t with her? (5) Convert the f ollowing to a mixed f raction : 4 7 (6) What f raction is represented by shaded portion of these shapes : A) B) C)

$D) E) F) ID : ww-5-fractions [2] Choose correct answer(s) f rom given choice (7)$ a c b d () 9 997 000 in decimal f orm gives us a 997 b 09997 c 9997 d 9997 (9) Jef

Jef f 's shelf is 2 f ull and Carol's shelf is 2 3 f ull If 45 more books of the

2 D) E) F) ID : ww-5-fractions [2] Choose correct answer(s) f rom given choice (7) Which f igure shows f raction 4? a c b d () in decimal f orm gives us a 997 b c 9997 d 9997 (9) Jef f and Carol have bookshelves of the same size and holding books of the same sizes Jef f 's shelf is 2 f ull and Carol's shelf is 2 3 f ull If 45 more books of the same size are distributed among them, then they can f ill their shelves completely How many books does Carol have today? a 30 b 43 c 36 d 46 (0) Which kind of f raction can never be represented using the f ollowing type of f igure a Proper Fractions b Improper Fractions c Unit Fractions d Like Fractions

$() Convert 3 4 5 to improper f raction ID : ww-5-fractions [3] a 2 5 c 9 5 b 5 4 d 3 5 4 Fill in the blanks (2) Add the f ollowing f ractions and reduce them to the simplest f orm: A) 3 + 2 9 B) 3 7$

3 () Convert to improper f raction ID : ww-5-fractions [3] a 2 5 c 9 5 b 5 4 d Fill in the blanks (2) Add the f ollowing f ractions and reduce them to the simplest f orm: A) B) C) + 3 D) E) F) (3) Following shape is made of several small cubes f raction of cubes are not visible in the picture shown below (4) T he multiplicative inverse of 524 is (5) The parking lot of the Shopping Complex has a capacity of 344 cars On Fridays the ratio of occupied spots to empty spots in the parking lot was 9:9 The number of additional cars that could park there is 206 Edugain (wwwedugaincom) All Rights Reserved Many more such worksheets can be generated at wwwedugaincom

4 Answers ID : ww-5-fractions [4] ()

5 (2) 76 ID : ww-5-fractions [5] The given problem has a whole number and a f ew f raction numbers A f raction is a number representing a part of a whole The total number of tof f ees Steven has 20 (a whole number) The number of tof f ees Steven distributes in the class 5 of We just f ound that Steven distributes 536 out of 20 tof f ees in the class Thus, the number of tof f ees Steven is now lef t with tof f ees Step 5 Steven distributes of the remaining tof f ees to the teachers: of Thus the number of tof f ees Steven distributes to the teachers 6 Step 6 The total number of tof f ees Steven distributed The number of tof f ees he distributed in the class + The number of tof f ees he distributed to his teachers Step 7 In order to f ind the number of tof f ees now lef t with Steven, let us subtract the total number of tof f ees he initially had with the total number of tof f ees he distributed: Step The number of tof f ees lef t with Steven is 76

6 ID : ww-5-fractions [6] (3)

7 ID : ww-5-fractions [7] (4) 3 0 The initial amount of money Lisa had $750 The amount of money Lisa gives to her sister 2 of the initial money she had 2 of $ (Dividing 750 by 2) $75 The amount remaining with her af ter giving money to her sister Amount Lisa initially had - Amount she gave to her sister $750 - $75 $75 The amount Lisa gives to her brother $350 Step 5 The remaining amount af ter giving money to her brother $75 - $350 $525 Step 6 Now, we know that the f inal amount of money lef t with Lisa is $525 We need to f ind what f raction of $750 is $525 This f raction will be the one with the remaining amount as 525 numerator and the initial amount as denominator, that is, 750 Step Let us now reduce to the simplest f orm by dividing both the denominator and the 750 numerator by 75, the HCF of 525 and 750: Step Hence, the f raction of the original amount that is lef t with Lisa is 3 0

8 ID : ww-5-fractions [] (5) A f raction is a number representing a part of a whole The whole maybe a single object or a group of objects An Improper Fraction is a type of f raction in which the numerator is greater than the denominator A Mixed Fraction is a f raction which can be expressed as the sum of a whole number and a proper f raction We have an improper f raction 4 7 equal parts 7 wherein 4 > 7, which means 4 must be divided into In order to convert the improper f raction 4 7 numerator 4 by the denominator 7: Dividend into mixed f raction, let us divide the Divisor 7 ) 4 ( 2 Quotient 3 4 Remainder 7 Af ter dividing 4 by 7, we get remainder 7, quotient 2 and the divisor 7 Step 5 A mixed f ractions is represented as: Quotient Remainder Divisor Thus, 4 7 can be written as: Step 6 Thus, af ter converting the improper f raction 4 7 into mixed f raction, we get 2 7 7

$ID : ww-5-fractions [9] (6) A) 7 9 We have been asked to f ind the f raction that represents the shaded portion of the f ollowing shape: Total number of equal parts in the image 9 Number of parts$

9 ID : ww-5-fractions [9] (6) A) 7 9 We have been asked to f ind the f raction that represents the shaded portion of the f ollowing shape: Total number of equal parts in the image 9 Number of parts that are shaded in the image 7 Fraction of parts of the image that are shaded Number of shaded parts Total number of parts 7 9 Hence, the f raction that is represented by the shaded portion of the shape is 7 9

10 ID : ww-5-fractions [0] B) 7 We have been asked to f ind the f raction that represents the shaded portion of the f ollowing shape: Total number of equal parts in the image Number of parts that are shaded in the image 7 Fraction of parts of the image that are shaded Number of shaded parts Total number of parts 7 Hence, the f raction that is represented by the shaded portion of the shape is 7

$ID : ww-5-fractions [] C) 9 3 We have been asked to f ind the f raction that represents the shaded portion of the f ollowing shape: Total number of equal parts in the image 3 Number of parts that are$

11 ID : ww-5-fractions [] C) 9 3 We have been asked to f ind the f raction that represents the shaded portion of the f ollowing shape: Total number of equal parts in the image 3 Number of parts that are shaded in the image 9 Fraction of parts of the image that are shaded Number of shaded parts Total number of parts 9 3 Hence, the f raction that is represented by the shaded portion of the shape is 9 3

$ID : ww-5-fractions [2] D) 9 2 We have been asked to f ind the f raction that represents the shaded portion of the f ollowing shape: Total number of equal parts in the image 2 Number of parts that$

12 ID : ww-5-fractions [2] D) 9 2 We have been asked to f ind the f raction that represents the shaded portion of the f ollowing shape: Total number of equal parts in the image 2 Number of parts that are shaded in the image 9 Fraction of parts of the image that are shaded Number of shaded parts Total number of parts 9 2 Hence, the f raction that is represented by the shaded portion of the shape is 9 2

$ID : ww-5-fractions [3] E) 5 We have been asked to f ind the f raction that represents the shaded portion of the f ollowing shape: Total number of equal parts in the image Number of parts that are$

13 ID : ww-5-fractions [3] E) 5 We have been asked to f ind the f raction that represents the shaded portion of the f ollowing shape: Total number of equal parts in the image Number of parts that are shaded in the image 5 Fraction of parts of the image that are shaded Number of shaded parts Total number of parts 5 Hence, the f raction that is represented by the shaded portion of the shape is 5

14 ID : ww-5-fractions [4] F) 4 5 We have been asked to f ind the f raction that represents the shaded portion of the f ollowing shape: Total number of equal parts in the image 5 Number of parts that are shaded in the image 4 Fraction of parts of the image that are shaded Number of shaded parts Total number of parts 4 5 Hence, the f raction that is represented by the shaded portion of the shape is 4 5

15 (7) d ID : ww-5-fractions [5] Look at the all of the f igures caref ully and notice that in f igure The number of in selected box 3 and the total number of 2 Now the f raction of the number of in the selected box to the total number of in given f igure Theref ore the f igure shows f raction 4

16 () d 9997 ID : ww-5-fractions [6] proper f raction is a mixed f raction A mixed f raction is a combination of a whole number and a In the mixed f raction , 9 is a whole number and 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 The proper f raction can be written as a decimal number as 0997 Adding the whole number 9 to the decimal number 0997, we get 9997 Step 5 Theref ore, the answer is 9997

17 (9) c 36 ID : ww-5-fractions [7] We f irst need to f ind out the total amount of empty space in both these shelves together Jef f 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 Carol has f raction of her shelf empty 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 45 among Jef f and Carol then the shelves will be f illed So the f raction 5 6 of the shelves can be f illed using 45 books Step 6 So we see that the total number of books that can be held in a shelf is So each shelf can hold 54 books Step 7 We also know Carol has 2 3 of his shelf f illed So it's just a matter of f inding out the value of 54 x (0) b Improper Fractions () c 9 5

18 ID : ww-5-fractions [] (2) A) B) C) D) E) F) (3) (4) Two number f ractions whose product is are called multiplicative inverse of each other Let us f irst write the whole number 524 into f ractions as 524 To get the multiplicative inverse, let us interchange the numerator and the denominator as 524 Hence, the multiplicative inverse of 524 is 524 A way to verif y our answer is to see that

19 (5) 92 ID : ww-5-fractions [9] It is given that ratio of occupied spots to empty spots is 9:9, which means if there are 2 ( 9 + 9) spots, 9 are occupied and 9 are empty But is given that total number of parking spots are 344 Theref ore total number of spots are 4 times ( 344/2) of 2 Theref ore available spots will also be 4 times of 9 Theref ore available parking spots,

Grade 4 3rd quarter in school

ID : ww-4-3rd-quarter-in-school [1] Grade 4 3rd quarter in school For more such worksheets visit www.edugain.com Answer t he quest ions (1) Shade the images to show the f ollowing f raction addition. 5