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
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The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerator < denominator). Two parts are shaded in the above diagram.
In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with respect to the whole shape in the figures from (i) to (viii) In; (i) Shaded
To find the difference between like fractions we subtract the smaller numerator from the greater numerator. In subtraction of fractions having the same denominator, we just need to subtract the numerators of the fractions.
Any two like fractions can be compared by comparing their numerators. The fraction with larger numerator is greater than the fraction with smaller numerator, for example \(\frac{7}{13}\) > \(\frac{2}{13}\) because 7 > 2. In comparison of like fractions here are some
In comparison of fractions having the same numerator the following rectangular figures having the same lengths are divided in different parts to show different denominators. 3/10 < 3/5 < 3/4 or 3/4 > 3/5 > 3/10 In the fractions having the same numerator, that fraction is
Like and unlike fractions are the two groups of fractions: (i) 1/5, 3/5, 2/5, 4/5, 6/5 (ii) 3/4, 5/6, 1/3, 4/7, 9/9 In group (i) the denominator of each fraction is 5, i.e., the denominators of the fractions are equal. The fractions with the same denominators are called
Fraction of a whole numbers are explained here with 4 following examples. There are three shapes: (a) circleshape (b) rectangleshape and (c) squareshape. Each one is divided into 4 equal parts. One part is shaded, i.e., onefourth of the shape is shaded and three
In worksheet on equivalent fractions, all grade students can practice the questions on equivalent fractions. This exercise sheet on equivalent fractions can be practiced by the students to get more ideas to change the fractions into equivalent fractions.
In worksheet on addition of fractions having the same denominator, all grade students can practice the questions on adding fractions. This exercise sheet on fractions can be practiced by the students to get more ideas how to add fractions with the same denominators.
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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