Answer:
When you multiply both the numerator and denominator of a fraction by the same non-zero fraction, you effectively multiply the fraction by 1. This is because multiplying a number by 1 does not change its value.
Let's say we have a fraction, a/b, and we multiply both the numerator and denominator by the fraction c/d. The result would be:
(a/b) * (c/d) = (a * c) / (b * d)
Since (c/d) is equal to 1, multiplying by it doesn't change the value. So, the fraction remains the same:
(a * c) / (b * d) = (a/b)
In summary, multiplying both the numerator and denominator of a fraction by the same non-zero fraction does not change the value of the fraction.