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

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

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

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

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

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

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.

by dividing both numerator and denominator

By dividing numerator by denominator.

You will get a rational fraction.

Divide the denominator into the numerator.

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

The terms of a fraction are 'Numerator' and 'Denominator.' The numerator is the number atop the dividing line, the denominator is that on the bottom. For example, in 5/7, five is the numerator, and seven is 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.

1) If the numerator and denominator are equal 2) If dividing the numerator by the denominator yields a quotient of 1 with no remainder

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.

By dividing the denominator into the numerator

The answer depends on what you mean by "start with".

It is the fraction in a simpler form.

It is a simplified fraction or ratio.

Since the number is obviously non-repeating, we can make it into a fraction by multiplying both the numerator and denominator of 3.14/1 by ten until the numerator has no digits after the decimal place. Doing so, we get 314/100. We can reduce this fraction (by dividing numerator and denominator by 2, in this case) to: 157/50

To solve an unrelated fraction you must, numerator multiplied by the numerator and denominator multiplied by denominator. When dividing fractions with the different/unrelated denominators, it’s a little bit more complicated. What you have to do is flip (find the inverse) the second fraction then proceed as if your multiplying the fractions.

We call that cross multiplying.

Multiply the numerator and the denominator by the same number.

The numerator of the fraction is '2'. The denominator of the fraction is the divisor (the number you were dividing by).

It means dividing the numerator and denominator of the fraction by their greatest common factor.