WEBVTT

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Here is the problem: 16 over 9 / 8 plus 9.

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Exact arithmetic with fractions (results kept in lowest terms).

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Dividing by a fraction means multiplying by its reciprocal.

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Multiply numerators and multiply denominators.

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Simplify. Divide numerator and denominator by their GCF, 8.

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Rewrite both fractions with the least common denominator. The LCD of 9 and 1 is 9.

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Add the numerators and keep the denominator.

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Final answer in lowest terms.

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So the answer is 83 over 9.

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Fractions are combined over a common denominator for addition and subtraction, multiplied straight across, and divided by multiplying by the reciprocal. The result is reduced by the greatest common factor.

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Decimal check: 83 over 9 approximately 9.222222222.

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As a mixed number: 9 2 over 9.