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Whole Numbers I | Week 13 Topics1 Quiz
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Whole Numbers II | Week 21 Topic1 Quiz
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Counting in Base Two | Week 34 Topics1 Quiz
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Arithmetic Operations | Week 43 Topics1 Quiz
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Lowest Common Multiple (LCM) | Week 52 Topics1 Quiz
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Highest Common Factor | Week 61 Topic1 Quiz
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Fraction | Week 77 Topics1 Quiz
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Basic Operations with Fractions I | Week 83 Topics1 Quiz
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Basic Operations with Fractions II | Week 91 Topic1 Quiz
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Directed Numbers | Week 103 Topics1 Quiz
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Estimation and Approximation I | Week 113 Topics1 Quiz
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Estimation and Approximation II | Week 126 Topics1 Quiz
Topic Content:
- Fractions with the Same Denominators
- Fractions with Different Denominators
Fractions with the Same Denominators:
Worked Example 8.8.1:
Solve the following:
i. \(\frac{3}{7} \: + \: \frac{5}{7}\)
ii. \(\frac{4}{9}\: - \: \frac{2}{9}\)
iii. \(\scriptsize 1 \: + \: \normalsize \frac{3}{4} \)
Solution:
i. \(\frac{3}{7} \: + \: \frac{5}{7}\\ = \frac{3\:+\:5}{7}\\ = \frac{8}{7} \\ =\scriptsize 1 \normalsize \frac{1}{7}\)
ii. \(\frac{4}{9}\: - \: \frac{2}{9} \\ = \frac{4 \: - \: 2}{9} \\ = \frac{2}{9}\)
iii. \(\scriptsize 1 \: + \: \normalsize \frac{3}{4} \\ = \frac{4}{4} \: + \: \frac{3}{4}\\ = \frac{4 \: + \: 3}{4} \\ = \frac{7}{4} \\ \scriptsize = 1 \normalsize \frac{3}{4}\)
( Note: 4 / 4 = 4 ÷ 4 = 1)
iv. \(\scriptsize 1 \: - \: \normalsize \frac{3}{7} \\= \frac{7}{7} \: - \: \frac{3}{7} \\ = \frac{7 \: - \: 3}{7} \\ = \frac{4}{7}\)
Fractions with Different Denominators:
To add or ...
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