Word Problems on Division of Mixed Fractions

We will discuss here how to solve the word problems on division of mixed fractions or division of mixed numbers.

Let us consider some of the examples.

1. The product of two numbers is 18. If one number is 8 2/5, find the other number.

Solution:

Product of two numbers = 18

One number = 8 2/5 = {(8 × 5) + 2}/5 = 42/5

The other number = 18 ÷ 42/5 = 18 × 5/42, (Because 18 ÷ 42/5 = 18/1 ÷ 42/5 = 18/1 × 5/42)

= 90/42

= 15/7

= 2 1/7


2. Ashish cut a 25 m long rope into pieces of 1 2/3 metres each. Find the total number of pieces he cut.

Solution:

Total number of pieces he cut = 25 ÷ 1 2/3

= 25 ÷ 5/3, (Because 25 ÷ 5/3 = 25/1 ÷ 5/3 = 25/1 × 3/5

= 25 × 3/5

= 75/5

= 15

So, Ashish cut 15 pieces.

Related Concept

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

Conversion of Fractions into Fractions having Same Denominator

Conversion of a Fraction into its Smallest and Simplest Form

Addition of Fractions having the Same Denominator

Subtraction of Fractions having the Same Denominator

Addition and Subtraction of Fractions on the Fraction Number Line


4th Grade Math Activities

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