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why do you multiply when dividing fractions

The Math You Need to Know You chose the format in which to complete the problem. Any number multiplied by its (its is 1. Any number multiplied by 1 is the number. One is the multiplicative. Any number divided by one, is that number. Another way of saying this is "If 1 is the denominator of a fraction, just use the numerator. "
The goal is to make the division expression look like just one number, perhaps a fraction or mixed number, but, still just one number.


Multiplying by the reciprocal and multiplying by 1 result in "the product of the first fraction and the reciprocal of the second" -- "copy the first, then, invert and multiply. " How to Divide Fractions, a selection of answers from the Dr. Math archives. How do we divide fractions? Why do we invert and multiply? - Dr.


Math FAQ How do you divide fractions? Say, 2/3 divided by 3/4. From the archives: How do you divide fractions? Can you help students visualize a problem such as: 1/3 / 1/2 = 2/3? Why is it that when you divide by a fraction, your answer is larger? How do you do calculations like 2 1/10 * 7 5/8 or 27/30 over 75/100? Diagram: 1 divided by 1 1/2. Why do we invert and multiply?


We were trying to find a division fraction question and everything we came up with turned into a multiplication fraction problem. Why do we have to invert the fraction in dividing fractions? Can you give a practical explanation of why the 'invert-and-multiply' rule for division of fractions works? Why is it when dividing fractions you have to multiply by a reciprocal?

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