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# Why dividing fraction by 1 equals the fraction?

Updated: 9/17/2023

Wiki User

7y ago

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Dividing any number by 1 equals the number you started with.

Wiki User

7y ago
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Wiki User

8y ago

This follows from the fact that 1 is the multiplicative identity for the set of real numbers (of which the set of rational numbers are a proper subset).

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### Explain why dividing any fraction by 1 equals the fraction?

Because, 1 multiplied by a number or fraction will equal the same thing, that's what also happens with dividing by 1. I hope I helped!

### Why dividing any fraction by 1 equals the fraction?

It's the same as dividing any number by 1. 4/1 = 4, 1 goes into four 4 times. (1/2)/1 = (1/2), 1 goes into (1/2) only .5 times.

### How to divided 1 by 8?

if the number you start with is smaller than the number dividing by, it will be a fraction. 1 divided by 8 equals 1/8.

### Why does 1.9 of 9 equals 1?

I suppose you mean 1/9 (the fraction one ninth). To get 1/9 of a number is the same as dividing that number by 9.

### Is dividing by zero equal to 1?

no dividing by zero equals to 0

### What happens when you divide a fraction by one?

when ever you divide fractions you must always flip the fraction you are dividing and change the division sign to multiplication, ex. 1/2 divded by 1 = 2/1 multiplied by 1/1 which equals 2

### What fraction equals 3937?

fraction which equals 3937 = 3937/1

### Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction the fraction by 1?

Because doing so is equivalent to multiplying or dividing by x/x, which can be cancelled down to 1.

### 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

### What is a fraction that can be changed dividing it?

a fraction that can be changed by dividing it is called an improper fraction.

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### Explain why dividing the numerator and denominator of a fraction by the greatest common factor is the most efficient way of simplfying the fraction?

By dividing both the numerator and denominator by the same number is like dividing by 1.