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# How is the multiplication of fractions and division of fractioms alike and different?

Updated: 4/28/2022

Wiki User

13y ago

Division is the multiplication by the reciprocal or multiplicative inverse.

In simpler language, to divide by a fraction change the division sign to multiplication and flip the fraction.

Wiki User

13y ago

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Q: How is the multiplication of fractions and division of fractioms alike and different?
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### What is the difference between multiplication and division fractions?

In dividing fractions you have to change division to multiplication and change the second fraction into a recipracol(flip the fraction.

### How is multiplication and division of fractions alike and different?

Division by a fraction is the same as multiplication by its reciprocal. The reciprocal of a number x is 1 over x. So the reciprocal of 2/5, for example, is 5/2.

### Why change mixed numbers to improper fractions?

For addition, subtraction, division and multiplication with other fractions

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Because it is not how multiplication or division are defined.

### How is multiplying of fractions simialar to dividing of fractions?

In multiplication and division of fractions, both involve multiplication. This is their similarity. In multiplication of fractions, multiply the numerator by the numerator of the other fraction and the denominator by the denominator of the other fraction. Example: 1/2 * 2/3 = 2/6 In division of fractions, reciprocate the divisor then follow the step in multiplying fractions. Example: 1/2 &divide; 2/3 = 1/2 * 3/2 = 3/4

### Why does multiplying a reciprocal work in division fractions?

Because multiplication and division are inverse operations. And the reciprocal of a number is its multiplicative inverse.

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No. Common denominators are needed for addition and subtraction, not multiplication or division.

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