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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.

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

That is how equivalent fractions are defined!

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

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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.

That is how equivalent fractions are defined!

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

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Multiply the numerator and the denominator by the same integer.

Multiply its numerator and denominator by equal amounts

You will get an equivalent fraction.

Multiply the numerator and the denominator by equal amounts

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