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No because the numerator and the denominator must be multiplied or divided by the same number for a given equivalent fraction

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

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

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

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

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.

No.Natural numbers by definition are whole: integers. However, if the numerator cannot be divided evenly by the denominator, or even if the numerator is less than the denominator, then it is impossible for such a ratio to result in an integer. Such ratios cannot simplify into natural numbers. (Note: This assumes that 0 is not a natural number--there is a disagreement over its membership. If 0 is considered a natural number, than any ratio with a 0 in the numerator but anything else in the denominator results in 0. A ratio with a nonzero numerator and a zero denominator is undefined. A 0/0 ratio is considered an indeterminate form and goes into calculus).