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?


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?


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?


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

From Word Problems on Multiplication of Mixed Fractions to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Line-Segment, Ray and Line | Definition of in Line-segment | Symbol

    Jun 14, 24 10:41 AM

    Line-Segment, Ray and Line
    Definition of in Line-segment, ray and line geometry: A line segment is a fixed part of a line. It has two end points. It is named by the end points. In the figure given below end points are A and B…

    Read More

  2. Definition of Points, Lines and Shapes in Geometry | Types & Examples

    Jun 14, 24 09:45 AM

    How Many Points are There?
    Definition of points, lines and shapes in geometry: Point: A point is the fundamental element of geometry. If we put the tip of a pencil on a paper and press it lightly,

    Read More

  3. Subtracting Integers | Subtraction of Integers |Fundamental Operations

    Jun 13, 24 04:32 PM

    Subtraction of Integers
    Subtracting integers is the second operations on integers, among the four fundamental operations on integers. Change the sign of the integer to be subtracted and then add.

    Read More

  4. 6th Grade Worksheet on Whole Numbers |Answer|6th Grade Math Worksheets

    Jun 13, 24 04:17 PM

    6th Grade Worksheet on Whole Numbers
    In 6th Grade Worksheet on Whole Numbers contains various types of questions on whole numbers, successor and predecessor of a number, number line, addition of whole numbers, subtraction of whole number…

    Read More

  5. 6th Grade Integers Worksheet | Word Problems | True / False | Answers

    Jun 13, 24 03:50 PM

    6th Grade Integers Worksheet
    In 6th grade integers worksheet contains various types of questions on integers, absolute value of an integer, addition of integer, properties of integer, subtraction of integer, properties of subtrac…

    Read More