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Equivalent Fractions Guide

1) Equivalent fractions have equal value even though the numerators and denominators are different. Fractions are equivalent if you multiply or divide the numerator and denominator by the same number. 2) To add or subtract fractions, you need to find a common denominator by finding the lowest common multiple of the denominators. Then convert each fraction to an equivalent fraction with the common denominator. 3) Exercises provide practice problems for identifying equivalent fractions, finding common denominators, and performing calculations with fractions. Step-by-step work is shown for finding equivalencies and common denominators.

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28 views2 pages

Equivalent Fractions Guide

1) Equivalent fractions have equal value even though the numerators and denominators are different. Fractions are equivalent if you multiply or divide the numerator and denominator by the same number. 2) To add or subtract fractions, you need to find a common denominator by finding the lowest common multiple of the denominators. Then convert each fraction to an equivalent fraction with the common denominator. 3) Exercises provide practice problems for identifying equivalent fractions, finding common denominators, and performing calculations with fractions. Step-by-step work is shown for finding equivalencies and common denominators.

Uploaded by

wainejamesmote
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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TOPIC1.

3 Fractions (3)
■Equivalent fractions

×2 ×4
1 2 8
=   =  
2 4 16
×2 ×4
𝟏 𝟐 𝟖
 ,  ,  have equal value. These fractions are called equivalent fractions.
𝟐 𝟒 𝟏𝟔

【Common questions】 Multiplied by the


Fill in the blanks and complete these equivalent fractions. same number
×4
2 ⬚ 2 ⬚ 2 8
(𝐴)   =            Step1
                                                =                                    
Step2                                     =                                  
3 12 3 12 3 12
×4 ×4

Find the operation


÷4 ÷4
12 3 12 3 12 3
(𝐵 )   =                    
Step1                                   =                            Step2
                                            =                                  
16 ⬚ 16 ⬚ 16 4
÷4

Steps Divided by the


Step1: Find the operation to change to equivalent fraction. same number
Step2: Calculate the numerator or the denominator using “Step1”.

■Changing to a common denominator


Step1: A common multiple of 4 and 6 is 12
3 5
       𝑎𝑛𝑑     Step2: 3 ×3 ⬚ 9 ×2
5 ⬚ 10
4 6             =               =               =               =  
4 12 12 6 12 12
×3 ×2

9 10 Steps
   𝑎𝑛𝑑   Step1: Find a common multiple of both denominators.
12 12
Step2: Change each fraction to an equivalent fraction.
※Common multiples
A number that’s multiples of two numbers is a common multiple.
The lowest common multiple is the smallest number that is a multiple of both.

5
Exercise
■ Ⅰ.Basic
1.1 Find the calculations. Fill in the blanks with numbers.

(𝐴)  2  ×              = 8              (𝐵 )  10  ×                = 30              (𝐶 )    6    ×                  = 30              (𝐷 )  7  ×                = 21

(𝐸 )  9   ÷              = 3            (𝐹 )  10   ÷                = 5              (𝐺 )    14   ÷              = 2              (𝐻 )  64   ÷                = 8

1.2 Find the lowest common multiples (LCM).

𝐴  2  𝑎𝑛𝑑  3                   𝐵    4  𝑎𝑛𝑑  3                 𝐶    4  𝑎𝑛𝑑  8                   𝐷  6  𝑎𝑛𝑑  4                 𝐸  7  𝑎𝑛𝑑  8

■ Ⅱ.Important
2.1 Fill in the blanks and complete these equivalent fractions.

1 1 3 5 20 4
𝐴   =                   𝐵   =                   𝐶   =                 𝐷   =                 𝐸   =                      
2 4 3 9 5 15 7 1 2

4 4 12 35 5 72
𝐹   =                   𝐺   =                   𝐻   =                 𝐼   =                   𝐽   =                      
6 3 12 3 15 5 49 9

2.2 Change the pairs of fractions to the common denominators using LCM of both denominators.
1 1 3 2 1 3 5 1 2 3
𝐴    𝑎𝑛𝑑                 𝐵      𝑎𝑛𝑑                 𝐶      𝑎𝑛𝑑                 𝐷    𝑎𝑛𝑑                 𝐸    𝑎𝑛𝑑  
2 3 4 3 4 8 6 4 7 8

■Ⅲ.Challenge
3.1 Fill in the blanks and complete these equivalent fractions.

1 2 3 21 42 3 9 40 2
𝐴   =   =           𝐵   =     =           𝐶   =   =         𝐷   =   =                
10 40 7 8 48 100 10

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