Simplifying Fractions Flashcards

GCSE Mathematics (Edexcel) 1MA1

Simplifying fractions

The process of reducing a fraction to its simplest form by dividing the numerator and denominator by their highest common factor (HCF).

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Terms in this set (10)

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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).

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Numerator

The top number in a fraction, representing the part of the whole.

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Denominator

The bottom number in a fraction, representing the total number of equal parts.

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Highest Common Factor (HCF)

The largest number that divides exactly into two or more numbers.

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Steps to simplify a fraction

1. Find the HCF of the numerator and denominator. 2. Divide both the numerator and denominator by the HCF.

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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.

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Prime factorisation in simplifying fractions

Break the numerator and denominator into their prime factors to find the HCF.

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Improper fraction

A fraction where the numerator is greater than or equal to the denominator.

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Simplifying improper fractions

Follow the same steps as simplifying proper fractions: divide the numerator and denominator by their HCF.

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Simplified fraction

A fraction is simplified when the numerator and denominator have no common factors other than 1.

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