answersLogoWhite

0


Best Answer

It is because division by a non-zero number is the inverse operation of multiplication of multiplication.

User Avatar

Wiki User

6y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why is multiplying by the reciprocal the same as divining a fraction?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What operation is the same as dividing by a fraction?

Multiplying by the reciprocal of the fraction.


Multiplying both terms by the same number gives an fraction?

same


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


8 over 7 divided by 2?

If you mean to divide 2 by the fraction 7/8, that is the same as multiplying with the reciprocal: 2 x 8/7.If you mean to divide 2 by the fraction 7/8, that is the same as multiplying with the reciprocal: 2 x 8/7.If you mean to divide 2 by the fraction 7/8, that is the same as multiplying with the reciprocal: 2 x 8/7.If you mean to divide 2 by the fraction 7/8, that is the same as multiplying with the reciprocal: 2 x 8/7.


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 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.


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

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


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.


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.


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

What is the inverse reciprocal of 0.01


What Is 33.5 Divided by 0.5?

67