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Because by definition division , by a non-zero number is the inverse operation to multiplication.

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What operation is the same as dividing by a fraction?

Multiplying by the reciprocal of the fraction.


Dividing one third is the same as multiplying by what number?

Dividing by any fraction is the same as multiplying by that fraction's reciprocal. To find a fraction's reciprocal on a calculator, simply raise the fraction to the power of -1. In this case, dividing by 1/3 is the same as multiplying by (1/3)-1 = 3. For example, 8 / 1/3 = 8 x 3 = 24


How are multiplying and dividing fractions similar?

Dividing anything by a fraction is the same as multiplying by the fraction's reciprocal. For example, 4 ÷ 2/7 = 4 x 7/2 = 14


Why is dividing by a number the same as multiplying by its reciprocal?

That is the definition of reciprocal.


When you divide by a fraction why does the quotient get larger?

When you divide by a fraction, you are multiplying by it's reciprocal or opposite. So if you are dividing by 1/2, it is the same thing as multiplying by 2/1.


How is dividing rational expressions like multiplying rational expressions?

To divide by a fraction, you simply multiply by the reciprocal. For example, dividing by 3/5 is the same as multiplying by 5/3.


What is a flipped fraction called?

When the numbers within a fraction are reversed, this is called a reciprocal. A reciprocal is useful when dividing fractions - dividing by a fraction is the same as multiplying by its reciprocal.For example, 4 / 2/3 = 4 x 3/2 = 6.


Dividing by a nonzero number is the same as multiplying by the?

What is the inverse reciprocal of 0.01


How is multiplying and dividing rational numbers similar?

Dividing by a non-zero rational number is the same as multiplying by its reciprocal.


Why do you have to switch the numerator and denominator when dividing fractions?

This is because dividing by a number is the same as multiplying by its reciprocal.


0.935 divided by 0.5?

1.87


Why do you take the reciprocal of the second fraction when dividing?

Because division by a number (the second fraction) is the same as multiplication by its reciprocal.