**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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