Simplifying Fractions

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What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

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What does it mean to simplify a fraction?

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To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

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What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

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How do you find the GCF of 8 and 12?

Back

The GCF of 8 and 12 is 4, as it is the largest number that divides both 8 and 12.

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Front

What is the first step in simplifying a fraction?

Back

The first step is to find the GCF of the numerator and denominator.

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If a fraction is already in its simplest form, what can you say about the numerator and denominator?

Back

If a fraction is in its simplest form, the numerator and denominator have no common factors other than 1.