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FOUR RULES FOR FRACTIONS
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The language of fractions
numerator denominator improper fraction mixed number
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To simplify a fraction you divide the numerator and denominator by a common factor.
= This can be shown on a diagram: =
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Examples 1 Simplify =
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2 Simplify =
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3 Simplify =
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4 Change to a mixed number.
note: 4 quarters make one whole one =
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5 Change to a mixed number.
note: 3 thirds make one whole one =
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Adding and subtracting fractions
To add or subtract fractions a common denominator is needed first. Example 1 Calculate first write both fractions with a common denominator of 15
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2 Calculate first write both fractions with a common denominator of 14
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3 Calculate first write both fractions with a common denominator of 20
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Multiplying and dividing fractions
Example 1 Calculate multiply the numerators, multiply the denominators
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2 Calculate first change to improper fractions multiply the numerators, multiply the denominators. change to a mixed number
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3 Calculate dividing by is the same as multiplying by multiply the numerators, multiply the denominators. change to a mixed number
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4 Calculate first change to improper fractions dividing by is the same as multiplying by multiply the numerators, multiply the denominators. simplify
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