PRACTICE WORD PROBLEMS WITH FRACTIONS FOR GRADE 4

Problem 1 :

If a tailor uses 3/4 m of cloth to make a skirt, how much cloth does he need for 7 skirts ?

(A) 5 ¼ m     (B) 2 ¼ m    (C)  3 ¼ m

Solution :

Length of cloth needed for one skirt  =  3/4 m

Length of cloth needed for 7 skirts  =  7 ⋅ (3/4)

  =  (7 ⋅ 3)/4

  =  21/4

  =  5   1/4  m

Problem 2 :

John made 5 cups of tea. She used 3/4 teaspoonful of sugar for each cup of tea. How many teaspoonful of sugar did she use in all ?

(A) 1 ¾      (B) 3 ¾      (C)  1 ¾

Solution :

Total no of cups of tea made by John  = 5 

Quantity of sugar to make one cup of tea  =  3/4

Quantity of sugar to make 5 cups of tea  =  5 ⋅ (3/4)

  =  15/4 

  =  3  3/4

Problem 3 :

Mary bought 4/3 kg  of beef. She cooked  3/4 kg of it for lunch. How much beef did she cook ?

(A) 1 kg        (B) 3 kg       (C)  4 kg

Solution :

Quantity of beef that she bought  =  4/3 kg

Quantity of beef that she cooked  =  3/4 kg

Remaining quantity of beef after used  =  (4/3) x (3/4)

  =  (4 ⋅ 3)/12

  =  1 kg

Problem 4 :

Jennifer had 18 picture cards. She gave 1/3 of them to Mary. How many picture cards does she have now ?

(A) 12        (B) 13        (C)  14

Solution :

No of picture cards does Jennifer have  = 18 

No of picture cards gave to Mary = 18 ⋅ (1/3)           

                                            =  18/3

                                            =  6

Remaining number of pictures 

 =  Original number of pictures - Number of pictures gave to Mary

  =  18 - 6

=  12

Problem 5 :

Mr.John weights 80 kg. His son is 3/5 as heavy. Find their total weight.

(A) 128 kg      (B) 135 kg    (C)  142 kg

Solution :

Weight of John  =  80 kg

Weight of his son  =  80 ⋅ (3/5)

  =  (80 ⋅ 3)/5

  =  240/5

  =  48 kg

Total weight  =  Weight of John + Weight of his son

  =  80 kg + 48 kg

  =  128 kg

Problem 6 :

A man gets $450 per month. He gives 1/8 of the amount to his wife and 1/6 to his children. How much will each get ? 

(A) 128          (B) 35        (C) 75

Solution :

Monthly earning of a man  =  $450

Amount given to his wife   =  450 ⋅  (1/8)                     

  =  (450 ⋅ 1)/8

  = 450/8

  =  56.25 

Amount given to his children  =  450 ⋅ (1/6) 

  =  (450 x 1)/6

  =  75

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