We will discuss here how to solve the word problems on subtraction of mixed fractions or subtraction of mixed numbers.
Let us consider some of the examples.
1. Jack jumped 4 1/7 m in a long jump competition. Shane jumped 3 2/9 m. Who jumped longer and by how many metres?
Solution:
Jack jumped = 4 1/7 m = 29/7 m = 261/63 m
Shane jumped = 3 2/9 m = 29/9 m = 203/63 m
Because 261 > 203, so Jack jumped more.
Difference = 261/63 – 203/63
= 261 – 203/63
= 58/63 m
Thus, Jack jumped 58/63 m more than Shane.
2. Mary gave 1/8 part of her money to Shelly. What fraction of money is left with her?
Solution:
The fraction of money given to Shelly = 1/8
The remaining fraction of money = 1  1/8
= 1/1  1/8
= 8/8  1/8
= 8  1/8
= 7/8
3. Sharon spent 4 3/7 hours studying maths and playing tennis. If she played tennis for 2 ¼ hours, how long did she study?
Solution:
Total hours spent for studying and playing = 4 3/7 = (4 × 7) + 3/7 = 31/7
Hours spent for playing tennis = 2 ¼ = 9/4
So, hours spent for studying = 31/7 – 9/4
= 31 × 4/7 × 4  9 × 7/4 × 7, (L.C.M. = 28)
= 124/28  63/28
= 61/28
= 2 5/28
4. Rex had some money. He spent 1/6 of it on Monday, 3/8 on Thursday and ¼ on Wednesday. What part of money is still left with him?
Solution:
Total part of money spent = 1/6 + 3/8 + ¼
= 1 × 4/6 × 4 + 3 × 3/8 × 3 + 1 × 6/4 × 6, (L.C.M. of 6, 8 and 4 = 24)
= 4/24 + 9/24 + 6/24
= 19/24
The part of money left with him = 1 – 19/24
= 1/1 – 19/24
= 24/24 – 19/24
= 24 – 19/24
= 5/24
Related Concept
● Representation of a Fraction
● Properties of Equivalent Fractions
● Comparison of Like Fractions
● Comparison of Fractions having the same Numerator
● 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
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