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because of mathematical equivalence: it doesn't change the result

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Q: Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction by 1?
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What is the definition of dividing a fraction?

Dividing a friction is multiplying by its reciprocal. The reciprocal of a fraction is the numerator and the denominator switched around.


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

Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.


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.


How do you make fraction to decimal?

by dividing the numerator by the denominator


When dividing fractions is a reciprocal used by multiplying?

Yes. One method for dividing fractions is to multiply the numerator fraction by the reciprocal of the denominator fraction.


How do you change 123.456 into a fraction?

123.456 is changed into fraction by multiplying and dividing it by a number such that both denominator and numerator don't contain decimal. Multiplying and dividing by 100, we get 123.456 as 123456/100.


Is a fraction or a ratio by dividing the numerator and denominator by a common factor?

Dividing the numerator and denominator by a common factor is how you simplify a fraction.


How do you do fraction equivalents?

by dividing both numerator and denominator


What is the result of dividing the numerator by the denominator?

You will get a rational fraction.


How do you multiply a whole number by an improper fraction?

The same way as multiplying a whole number by an ordinary fraction: Multiply the numerator (top number) by the whole number and put it over the original denominator (bottom number). This can then be simplified by dividing the numerator and denominator by their highest common factor; or it can be converted into a decimal (which could be a whole number) by dividing the numerator by the denominator.


When multiplying use fraction notification we form products in the numerator and the denominator but do not immediatily calculate the product?

That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.


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.