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Equivalent Fractions Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Equivalent fractions
Fractions that represent the same value, even though they may have different numerators and denominators.
Simplifying fractions
Dividing the numerator and denominator of a fraction by their highest common factor (HCF) to write it in its simplest form.
Finding equivalent fractions
Multiply or divide both the numerator and denominator of a fraction by the same non-zero number.
Example of equivalent fractions
1/2 is equivalent to 2/4, 3/6, and 4/8 because they all represent the same value.
Checking if fractions are equivalent
Cross-multiply the fractions. If the cross-products are equal, the fractions are equivalent.
Converting improper fractions to mixed numbers
Divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the numerator of the fraction.
Converting mixed numbers to improper fractions
Multiply the whole number by the denominator, then add the numerator. Place this result over the original denominator.
Using equivalent fractions in calculations
Equivalent fractions can be used to add, subtract, multiply, or divide fractions by ensuring they have a common denominator.
Why equivalent fractions are useful
They help compare, simplify, and calculate with fractions more easily.
Real-life example of equivalent fractions
If a recipe calls for 1/2 cup of sugar, you can use 2/4 or 4/8 cups instead, as they are equivalent.

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