Which equivalent fraction would you have use in order to make 3/5 to 21/25??

Plz have an explanation of how you solved the answer and not just one sentence. Thank you!!

Not sure what you mean by "make 3/5 to 21/25"

3/5 * 7/5 = 21/5

To find an equivalent fraction for 3/5 that is equal to 21/25, we need to determine how many times the numerator and denominator of 3/5 need to be multiplied by the same number. The objective is to find a common factor that can be applied to both the numerator and denominator of 3/5 to obtain the desired equivalent fraction 21/25.

To do this, we can use prime factorization or trial and error. Let's try prime factorization:

Prime factorization of 3: 3 = 3
Prime factorization of 5: 5 = 5
Prime factorization of 21: 21 = 3 * 7
Prime factorization of 25: 25 = 5 * 5

To make the numerator of 3/5 equal to the numerator of 21/25, we need to multiply it by 7, so the numerator becomes 3 * 7 = 21.

To make the denominator of 3/5 equal to the denominator of 21/25, we need to multiply it by 5 * 5 = 25.

Thus, an equivalent fraction for 3/5 that is equal to 21/25 is (3 * 7) / (5 * 5) = 21/25.

In summary, we found the prime factorization of both fractions and used it to determine which factors need to be applied to the numerator and denominator of 3/5 to make it equal to 21/25.