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**

● Representation of a Fraction

● Properties of Equivalent Fractions

● Comparison of Like Fractions

● Comparison of Fractions having the same Numerator

● 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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