You do not need it! Sometimes it is simpler to multiply by a number's reciprocal than to divide by it but that is not always the case.
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To divide by a fraction, you multiply by its reciprocal. This is related to the facts that (1) division is the opposite of multiplication, and (2) a reciprocal is the multiplicative "opposite" of a number.
You take the reciprocal of a fraction when you want to invert the numerator and the denominator. The reciprocal of a fraction is found by flipping the fraction upside down. For example, the reciprocal of 2/3 is 3/2.
Reciprocal just means that you flip the fraction... your fraction is -p/4 the reciprocal is 4/-p the reciprocal is extremely important when dividing fractions. because when you divide fractions you have to take the reciprocal of the bottom fraction and then multiply it to your top fraction to get your answer.
To divide a fraction by a fraction, multiply the first fraction by the reciprocal of the second one.
You multiply the negative number by the reciprocal of the fraction.