Word Problems on Subtraction of Mixed Fractions
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
From Word Problems on Subtraction 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.
Recent Articles
-
Adding 1-Digit Number | Understand the Concept one Digit Number
Apr 26, 24 01:55 PM
Understand the concept of adding 1-digit number with the help of objects as well as numbers. -
Subtracting 2-Digit Numbers | How to Subtract Two Digit Numbers?
Apr 26, 24 12:36 PM
In subtracting 2-digit numbers we will subtract or minus a two-digit number from another two-digit number. To find the difference between the two numbers we need to ‘ones from ones’ and ‘tens from -
1st Grade Word Problems on Subtraction | Subtracting 2-Digit Numbers
Apr 26, 24 12:06 PM
In 1st grade word problems on subtraction students can practice the questions on word problems based on subtraction. This exercise sheet on subtraction can be practiced by the students to get more ide… -
Subtracting 1-Digit Number | Subtract or Minus Two One-Digit Number
Apr 26, 24 11:21 AM
In subtracting 1-digit number we will subtract or minus one-digit number from one-digit number or one-digit number from 2-digit number and find the difference between them. We know that subtraction me… -
Perimeter of a Square | How to Find the Perimeter of Square? |Examples
Apr 25, 24 05:34 PM
We will discuss here how to find the perimeter of a square. Perimeter of a square is the total length (distance) of the boundary of a square. We know that all the sides of a square are equal. Perimete…