Dividing Mixed Numbers

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What is a mixed number?

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A mixed number is a whole number combined with a fraction, such as 2 \frac{1}{2}.

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How do you convert a mixed number to an improper fraction?

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Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2 \frac{1}{2} becomes \frac{2 \times 2 + 1}{2} = \frac{5}{2}.

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What is the first step in dividing mixed numbers?

Back

Convert each mixed number to an improper fraction.

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How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

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What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of \frac{3}{4} is \frac{4}{3}.

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What is the result of dividing a mixed number by a whole number?

Back

Convert the mixed number to an improper fraction, then multiply by the reciprocal of the whole number expressed as a fraction.

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How do you simplify a fraction?

Back

Divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the GCD of 12 and 8?

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The GCD of 12 and 8 is 4.

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3.

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