Simplifying Fractions

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What is a fraction?

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A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator.

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What does it mean to simplify a fraction?

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Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

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What is the greatest common factor (GCF)?

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The greatest common factor (GCF) is the largest number that divides two or more numbers without leaving a remainder. For example, the GCF of 14 and 35 is 7.

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How do you find the GCF of two numbers?

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To find the GCF, list the factors of each number and identify the largest factor they have in common. Alternatively, you can use prime factorization.

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What is the first step in simplifying a fraction?

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The first step in simplifying a fraction is to find the GCF of the numerator and the denominator.

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What is an equivalent fraction?

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How can you create equivalent fractions?

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You can create equivalent fractions by multiplying or dividing both the numerator and denominator by the same non-zero number.

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What is the simplest form of a fraction?

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The simplest form of a fraction is when the numerator and denominator are as small as possible and have no common factors other than 1.