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One misconception is that the process is difficult.

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10y ago

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Why do you find the reciprocal of fractions when dividing?

Most people find multiplication by a fraction easier than dividing by a fraction. Dividing by a fraction is equivalent to multiplying by its reciprocal. For example, 10 / (3/4) would require you to divide by 3/4. How many three-quarters in ten? Hmmm... Not that easy. Instead, try multiplying by 4/3 Much easier: 10*(4/3) = 40/3 = 13.33...


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Rules for dividing by a fraction are multiply by the reciprocal. The reciprocal of a unit fraction is a whole number. Multiplying by a whole number will make the answer (quotient) larger. ex unit fraction 1/a 7 divided by 1/a = 7 x a/1 = 7a .... a times larger than 7.