Problem 1 :
Mary poured 5/8 liter of apple juice equally in to 5 glasses. How much of apple juice was there in each glass?
(A) 1/8 liter (B) 1/5 liter (C) 1/6 liter
Solution :
Original quantity of apple juice = 5/8 liter
Number of glasses to be divide = 5
Quantity of apple juice in each glass = (5/8) ÷ 5
Here we can consider 5 as 5/1
= (5/8) ÷ (5/1)
= (5/8) ⋅ (1/5)
= 1/8
So 1/8 liter apple juice will get each glass.
Problem 2 :
John cuts lead strips to make stained-glass windows. He has a 3 ¾ foot strip of lead and
cuts into 5 equal pieces. How long is each piece of lead?
(A) 1/6 feet (B) 3/4 feet (C) 2/3 feet
Solution :
Original length of the lead strip = 3 ¾ foot
Length of each lead strip = 3 ¾ foot ÷ 5
= 15/4 ÷ 5
= (15/4) ⋅ (1/5)
= 3/4
The required length of each piece of lead is ¾ feet.
Problem 3 :
Mrs.Mathew divided ¾ kg of grapes equally among 6 children. How many kilograms of grapes did each child get?
(A) 1/8 kg (B) 3/11 kg (C) 2/3 kg
Solution :
Quantity of grapes that Mrs.Mathew had = 3/4 kg
Number of children is be divided = 6
Quantity of grapes that each children will get
= (original quantity of grapes)/(Number of children)
= (3/4) ÷ 6
= (3/4) ⋅ (1/6)
= 1/8 kg
That is each child will get 1/8 kg of grapes.
Problem 4 :
The perimeter of square piece of paper is 3/4 m. What is the length of its side?
(A) 1/15 m (B) 3/16 m (C) 2/3 m
Solution :
Perimeter of square piece = 3/4 m
Perimeter of any square = 4a
4a = 3/4 m
The length of four sides = 3/4 m
length of one side = (3/4) ÷ 4
= (3/4) ⋅ (1/4)
The length of each side of a square is 3/16 m.
Problem 5 :
The product of two fractions is 30 1/3. One of them is 5 2/3. Find the other?
(A) 91/17 (B) 15/19 (C) 25/97
Solution :
Let x be the required fraction.
One of the fraction = 5 2/3 = 17/3
Product of two fractions = 30 1/3 = 91/3
(17/3) ⋅ x = 91/3
x = 91/3 ÷ (17/3)
x = (91/3) ⋅ (3/17)
x = 91/17
So, the required fraction is 91/17.
Problem 6 :
How many pieces of wood each 1/5 m long can be cut from a piece 3 m long ?
(A) 18 pieces (B) 11 pieces (C) 15 pieces
Solution :
Length of the given wood = 3 m
Length of each piece = (1/5) m
Length of each pieces which has been cut
= Length of wood/(measurement of wood piece)
= 3 / (1/5)
= 15
That is, 3 m wood can be cut into 15 equal parts.
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