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

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 Subtraction of Mixed Fractions to HOME PAGE


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.



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.



Share this page: What’s this?

Recent Articles

  1. 4th Grade Mental Math on Roman Numerals | Roman Numerals Quiz

    Feb 23, 24 03:55 PM

    In 4th grade mental math on numbers, students can practice different questions on write the Hindu-Arabic numerals, write the Roman Numerals, comparison of roman numerals, addition of roman numerals.

    Read More

  2. 4th Grade Mental Math on Numbers | Mental Math 4th Grade with Answers

    Feb 23, 24 02:24 PM

    4th Grade Mental Math on Numbers
    In 4th grade mental math on numbers, students can practice different questions on numbers in figures, number name, place value, face value, comparison of number and formation of greatest and smallest…

    Read More

  3. Roman Numerals | System of Numbers | Symbol of Roman Numerals |Numbers

    Feb 23, 24 01:28 PM

    List of Roman Numerals Chart
    How to read and write roman numerals? Hundreds of year ago, the Romans had a system of numbers which had only seven symbols. Each symbol had a different value and there was no symbol for 0. The symbol…

    Read More

  4. Worksheet on Roman Numerals |Roman Numerals|Symbols for Roman Numerals

    Feb 22, 24 04:15 PM

    Roman Numbers Table
    Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values. Write the number for the following: (a) V…

    Read More

  5. Roman Symbols | What are Roman Numbers? | Roman Numeration System

    Feb 22, 24 02:30 PM

    Roman Numbers
    Do we know from where Roman symbols came? In Rome, people wanted to use their own symbols to express various numbers. These symbols, used by Romans, are known as Roman symbols, Romans used only seven…

    Read More