Fractions: MASTERING THE FUNDAMENTALS, #1

Copyright

FRACTIONS

Copyright © 2020 by Kashief Jagot

All rights reserved.

No part of this book may be reproduced

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without written permission from the

author, except for the use of brief quotations

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ISBN 978-1-990954-33-7

Table of Contents

Table of Contents

Rational Numbers

Proper, Improper and Mixed Numbers

Proper Fractions

Improper Fractions

Mixed Numbers

Improper Fractions to Mixed Numbers

Mixed Numbers to Improper Fractions

Simplifying Fractions

Equivalent Fractions

Comparing Fractions

Addition of Fractions: Same Denominator

Subtraction of Fractions: Same Denominator

Addition of Fractions: Different Denominators

Subtraction of fractions: Different Denominators

Multiplication of Fractions

Division of Fractions

Complex Examples

Rational Numbers

Rational number: A number which can be written in the form

, where a and b represent integers and b 0

Proper, Improper and Mixed Numbers

Proper Fractions

Note: Numerator is less than the denominator

a. 

b. 

c. 

Improper Fractions

Note: Numerator is greater than the denominator

a. 

b. 

c. 

Mixed Numbers

Note: Composed of a whole number and fraction

a.  2

b.  4

c.  5

Improper Fractions to Mixed Numbers

Note: Regard as division (Numerator divided by denominator)

a. 

Four goes into nine, 2 times with a remainder of 1

=2

b. 

Four goes into six, 1 time with a remainder of 2

=1

Reduce the fraction to lowest terms by extracting and cancelling out 2

Divide 2 by 2 to get 1

Divide 4 by 2 to get 2

=1

c. 

Twenty-four goes into seventy-four,

3 times with a remainder of 2

=3

Reduce