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JSS1: MATHEMATICS - 1ST TERM

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  1. Whole Numbers I | Week 1
    3Topics
    |
    1 Quiz
  2. Whole Numbers II | Week 2
    1Topic
    |
    1 Quiz
  3. Counting in Base Two | Week 3
    4Topics
    |
    1 Quiz
  4. Arithmetic Operations | Week 4
    3Topics
    |
    1 Quiz
  5. Lowest Common Multiple (LCM) | Week 5
    1Topic
    |
    1 Quiz
  6. Highest Common Factor | Week 6
    1Topic
    |
    1 Quiz
  7. Fraction | Week 7
    7Topics
    |
    1 Quiz
  8. Basic Operations with Fractions I | Week 8
    3Topics
    |
    1 Quiz
  9. Basic Operations with Fractions II | Week 9
    1Topic
    |
    1 Quiz
  10. Directed Numbers | Week 10
    3Topics
    |
    1 Quiz
  11. Estimation and Approximation I | Week 11
    3Topics
    |
    1 Quiz
  12. Estimation and Approximation II | Week 12
    6Topics
    |
    1 Quiz
Lesson 7, Topic 2
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How To Find Equivalent Fractions

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To find an equivalent fraction with a larger numerator and denominator, simply multiply both the numerator and the denominator of the given fraction by the same number. 

Example 1

\( \frac {2}{3} = \frac {2}{3}\: \times \: \frac {3}{3}= \frac {6}{9} \)

That is, \( \frac {2}{3}\)is equivalent to \( \frac {6}{9}\)

Example 2

Convert 2/9 into an equivalent fraction with the denominator 27.  

Solution

Screen Shot 2020 11 21 at 11.31.48 AM

Divide the second denominator by the first denominator to obtain the multiplier. i.e. 27 ÷ 9 = 3 

\( \frac {2}{9}= \frac {2 \: \times \: 3}{9 \: \times \: 3}= \frac {3}{3}= \frac {6}{27} \)

\( \frac {2}{9}= \frac {6}{27} \)

Example 3 

Find the missing part of these fractions: 

Screen Shot 2020 11 21 at 11.43.55 AM

You can use \( \frac {20}{50}\) as your reference fraction because both its numerator and denominator are given. 

That is, \( \frac {20}{50} = \frac {2}{5} \) (i.e. divide by 10) 

 We can use the fraction to obtain the multipliers.

\( \frac {?}{10} = \frac {2 \: \times \: 2}{2 \: \times \: 5} = \frac {4}{10} \)

\( \frac {12}{?} = \frac {6 \: \times \: 2}{6 \: \times \: 5} = \frac {12}{30} \)

\( \frac {?}{80} = \frac {16 \: \times \: 2}{16 \: \times \: 5} = \frac {32}{80} \)
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