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Simplifying Fractions Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Simplifying fractions
The process of reducing a fraction to its simplest form by dividing the numerator and denominator by their highest common factor (HCF).
Numerator
The top number in a fraction, representing the part of the whole.
Denominator
The bottom number in a fraction, representing the total number of equal parts.
Highest Common Factor (HCF)
The largest number that divides exactly into two or more numbers.
Steps to simplify a fraction
1. Find the HCF of the numerator and denominator. 2. Divide both the numerator and denominator by the HCF.
Example: Simplify 12/16
The HCF of 12 and 16 is 4. Divide both by 4: 12 ÷ 4 = 3, 16 ÷ 4 = 4. Simplified fraction: 3/4.
Prime factorisation in simplifying fractions
Break the numerator and denominator into their prime factors to find the HCF.
Improper fraction
A fraction where the numerator is greater than or equal to the denominator.
Simplifying improper fractions
Follow the same steps as simplifying proper fractions: divide the numerator and denominator by their HCF.
Simplified fraction
A fraction is simplified when the numerator and denominator have no common factors other than 1.

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