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Q: What do you call when multiplying the numerator and denominator of a ratio by the same factor?

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They are a common factor and any common factor in the numerator and denominator of a ratio can be cancelled out.

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

If you mean multiplying numerator and denominator by different numbers, the result is then a different ratio. If you mean variously multiplying the numerator and denominator by the same number on different occasions, the result is unchanged.

It is simplifying the ratio.

It is a simplified fraction or ratio.

simplifying

It is one way to simplify the ratio.

It gives an equivalent ratio is a simpler form.

scaling up

Divide the numerator and denominator of the ratio by their highest common factor.

You will get an equivalent fraction.

It is simplification.

this is found by multipling the denominator of one ratio by the numerator of the other ratio

It is a ratio of two numbers in which the absolute value of the numerator is grater than that of the denominator and that the numerator and denominator do not have any common factor.

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

Means to multipily the numerator and the denominator of a ratio by the same factor.

It could be simplifying the fraction.

The numerator of the second ratio and the denominator of the first ratio are called the means, and the numerator of the first ratio and the denominator of the second ratio are called the extremes. The product of the means equals the product of the extremes.

It means that the previous fraction was not in its lowest terms.

Divide the numerator and denominator of the fraction by their greatest common factor.

Because a fraction is represented by the ratio of the two numbers and multiplying both by the same number does not change their ratio.

You divide the numerator by the denominator.

Simplify (not simplifie) has many meanings which depend on the context. In the context of ratios or fractions, it means reducing the ratio to its lowest or simplest form. This requires the numerator and denominator to be divided by their greatest common factor. If the fractions contain surds or complex numbers in the denominator, simplifying means removing these to the numerator. This requires multiplying both the numerator and denominator by the conjugate number. In the context of an equation or expression, it means to combine like terms.

You divide the numerator of the ratio by its denominator.

And the denominator is 0