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(3/4) x (5/9) = (3x5)/(4x9) = 15/36, that is when you multiply fractions, you multiply the numerators and form the numerator of the result and multiply the denominators and form the denominator of the result

(3/4) / (5/9) = (3/4) x (9/5) = 27/20, that is when you divide fractions, you first invert the fraction by which you are dividing and then multiply the numerators and form the numerator of the result and multiply the denominators and form the denominator of the result

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Q: How is dividing fractions different from multiplying fractions?
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This is because dividing by a number is the same as multiplying by its reciprocal.


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