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Maths Fractions Notes

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2020/2021 Written for academic year
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8th Grade
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Mathematics
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Maths fraction notes that can be used by Maths students in any grade. Notes include focus on Simplifying Fractions, More Complex Simplification, Multiplication and Division of Fractions, Addition and Subtraction of Fractions

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Fractions
Simplifying Fractions 2
More Complex Simplification 3
Multiplication and Division of Fractions 4
Addition and Subtraction of Fractions 5

, Simplifying Fractions
When a fraction is written in its simplest form it means that there is no number which can divide
into the numerator AND the denominator without a remainder.
To simplify the fraction we look for the HIGHEST COMMON FACTOR (HCF) and divide the
numerator and denominator by the HCF.

NUMERATOR / DENOMINATOR

Fractions MUST ALWAYS be written in their simplest form



1. 9/30 → the HCF of 9 and 30 is 3
= 3/10 → 9/3 = 3 and 30/3 = 10

2. 6xy/12yz → the HCF of 6xy and 12yz is 6y
= x / 2z → 6xy / 6y = x and 12yz / 6y = 2z

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