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

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Q: Why Can you multiply the numerator and denominator of a fraction by the same number to write an equivalent fraction?

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That is how equivalent fractions are defined!

You will get an equivalent fraction. However, if the numerator and the denominator of a fraction by zero, the result is not defined.

No because you have too multiply the numerator and denominator by the the same number to have an equivalent fraction.

You can multiply the numerator and the denominator of a fraction by any non-zero integer to get an equivalent fraction.

Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer. You will have an equivalent fraction.Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer. You will have an equivalent fraction.Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer. You will have an equivalent fraction.Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer. You will have an equivalent fraction.

Multiply its numerator and denominator by equal amounts

You will get an equivalent fraction.

Multiply the numerator and the denominator by equal amounts

you multiply the numerator by the numerator and the denominator by the denominator.

Multiply the numerator and the denominator by the same integer.

Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero number. You will have an equivalent fraction.Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero number. You will have an equivalent fraction.Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero number. You will have an equivalent fraction.Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero number. You will have an equivalent fraction.

Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero number. You will have an equivalent fraction.Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero number. You will have an equivalent fraction.Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero number. You will have an equivalent fraction.Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero number. You will have an equivalent fraction.

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