Mixed Numbers Division

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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 that over the original denominator. For example, 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}.

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What is the first step in dividing mixed numbers?

Back

Convert both mixed numbers to improper fractions.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction \frac{a}{b} is \frac{b}{a}.

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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 36 and 48?

Back

The GCD of 36 and 48 is 12.

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