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




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.



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.

Share this page: What’s this?

Recent Articles

  1. Worksheet on Triangle | Homework on Triangle | Different types|Answers

    Jun 21, 24 02:19 AM

    Find the Number of Triangles
    In the worksheet on triangle we will solve 12 different types of questions. 1. Take three non - collinear points L, M, N. Join LM, MN and NL. What figure do you get? Name: (a)The side opposite to ∠L…

    Read More

  2. Worksheet on Circle |Homework on Circle |Questions on Circle |Problems

    Jun 21, 24 01:59 AM

    Circle
    In worksheet on circle we will solve 10 different types of question in circle. 1. The following figure shows a circle with centre O and some line segments drawn in it. Classify the line segments as ra…

    Read More

  3. Circle Math | Parts of a Circle | Terms Related to the Circle | Symbol

    Jun 21, 24 01:30 AM

    Circle using a Compass
    In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We…

    Read More

  4. Circle | Interior and Exterior of a Circle | Radius|Problems on Circle

    Jun 21, 24 01:00 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More

  5. Quadrilateral Worksheet |Different Types of Questions in Quadrilateral

    Jun 19, 24 09:49 AM

    In math practice test on quadrilateral worksheet we will practice different types of questions in quadrilateral. Students can practice the questions of quadrilateral worksheet before the examinations

    Read More