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
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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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