**Word Problems with Rational Numbers Examples :**

Here we are going to see some example problems of solving word problems with rational numbers.

**Question
1 :**

In a recipe making, every 1 1/2 cup of rice requires 2 3/4 cups of water. Express this, in the ratio of rice to water.

**Solution :**

Quantity of rice = 1 1/2 = 3/2

Quantity of water required = 2 3/4 = 11/4

Ratio between rice and water = (3/2) : (11/4)

= (3/2) x (4/11)

= 6/11

= 6 : 11

**Question 2 :**

Ravi multiplied 25/8 and 16/15 to obtain 400/120. He says that the simplest form of this product is 10 3 and Chandru says the answer in the simplest form is 3 1/3. Who is correct? (or) Are they both correct? Explain.

**Solution :**

By multiplying the fractions 25/8 and 16/15, we get 400/120

By simplifying this, we get

= 40/12 = 10/3 (improper fraction)

By changing this improper fraction into mixed form, we will get

= 3 1/3

Hence the both are correct.

**Question 3 :**

A piece of wire is 4/5 m long. If it is cut into 8 pieces of equal length, how long will each piece be?

**Solution :**

Original length of wire = 4/5

Number of pieces to be cut out = 8

length of each piece = (4/5) ÷ 8

= (4/5) ⋅ (1/8)

= 1/10 m

Length of each part is 1/10 m.

**Question
4 :**

Find the length of a room whose area is 153/10 sq.m and whose breadth is 2 11/20 m.

**Solution
:**

Area of room = 153/10

Breadth = 2 11/20 = 51/20

length = ?

Length x breadth = (153/10) ÷ (51/20)

= (153/10) x (20/51)

= 3(2)

= 6

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