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

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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Yes. If the numerator (on top) is higher or equal to the denominator (bottom) than its an improper fraction. If the numerator and denominator are the same then the fraction is considered a whole number and always comes out 1. If the numerator is higher than the denominator then you must divide the numerator by the denominator.

Here's its equation: x = 2/3 × 360/1 x = 720/3 x = 240 Finding a fraction of a whole number would be by multiplying that fraction with that whole number over 1. Then that multiplied numerator would be equal to dividing it by that fraction's denominator.

Numerator = 941941 Denominator = 1000000.

That would be the numerator. The numerator is above the denominator. The numerator divided by the denominator would be equal to the quotient. So, numerator/denominator = quotient

If the numerator is greater than the denominator then it is an improper fraction as for example 5/3 but if the numerator is less than the denominator then it is a common fraction as for example 3/4

Related questions

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

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

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

by dividing the numerator by the denominator

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

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

by dividing both numerator and denominator

You will get a rational 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.

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.

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