Q: Does adding the same nonzero number to the numerator and denominator of a fraction produce an equivalent fraction?

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

No, multiplying does. 2/4 does not equal 4/6 2/4 equals 4/8

Equal ratio

The distributive property is not related to finding equivalent fractions. The distributive property is a rule that states a(b + c) is equal to ab + ac. It is used to simplify expressions and perform operations like multiplication or addition. To find an equivalent fraction, you would need to multiply or divide the numerator and denominator by the same nonzero number.

Because division by zero is not defined and if the denominator were zero, we would be dividing by zero.

Related questions

Multiply numerator and denominator by the same number - any nonzero number - and you get an equivalent fraction.There are infinite answers, but here are a few:14/18, 21/27, 32/36

Any fraction that has a zero as the numerator equals zero. Any fraction that does not have a zero in the numerator would be a nonzero fraction.

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

No, multiplying does. 2/4 does not equal 4/6 2/4 equals 4/8

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

Equal ratio

The distributive property is not related to finding equivalent fractions. The distributive property is a rule that states a(b + c) is equal to ab + ac. It is used to simplify expressions and perform operations like multiplication or addition. To find an equivalent fraction, you would need to multiply or divide the numerator and denominator by the same nonzero number.

Because the ratio between the two numbers is not changed when you multiply both by the same non-zero number.

Because division by zero is not defined and if the denominator were zero, we would be dividing by zero.

Natural numbers are a special kind of Rational numbers. Rational numbers can be expressed as a fraction. (Positive) fractions with the same (nonzero) numerator and denominator are natural numbers, for example 9/9 = 1.

This kind of number is called "irrational", meaning (to a mathematician!) "not a ratio."

Like denominator is the same denominator as the nonzero numbers.