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.

3. A pole whose length is 10$\frac{2}{3}$ metres is cut into 16 equal pieces.

Solution:

What is the length of each piece?

Length of the pole = 10$\frac{2}{3}$ m

Number of pieces = 16

Length of each pieces = 10$\frac{2}{3}$ m ÷ 16

                                = $\frac{32}{3}$ ÷ $\frac{16}{1}$

                                = $\frac{32}{3}$ × $\frac{1}{16}$

                                = $\frac{32}{3 × 16}$

                                = $\frac{\not 2 × \not 2 × \not 2 × \not 2 × 2}{3 × \not 2 × \not 2 × \not 2 × \not 2}$

                                = $\frac{2}{3}$ m

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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