Word Problems on Multiplication of Mixed Fractions

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

Let us consider some of the examples.

1. Aaron had 324 toys. He gave 1/3 of it to her sister Mary. How many toys did he give to Mary?

Solution:

Aaron gave 1/3 of 324 toys to Mary = 1/3 × 324 = 324/3 = 108 toys.

So, Aaron gave 108 toys to Mary.

2. Sam distributed fruits among 5 children. If each one got 1/6 part of fruits, what fraction of fruits was distributed in all?

Solution:

1 child got fruits 1/6 part

5 children got fruits = 1/6 × 5 parts = 5/6 part.

So, the fraction of fruits distributed = 5/6.

3. There are 267 pages in a book. Ron read \(\frac{1}{3}\) of the book. How many pages more should Ron read?

Solution:

Total number of pages in the book = 267

Number of pages Ron read = \(\frac{1}{3}\) of the book

                                       = \(\frac{1}{3}\) × 267

                                       = \(\frac{267}{3}\)

                                       = 89 pages

Therefore, number of pages Ron has to read = 267 - 89

                                                                 = 178

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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