What number will make the fractions equivalent?
712 = ?48
(1 point)
The number that will make the fractions equivalent is 328.
To make the fractions equivalent, we need to find a number that we can multiply both the numerator and denominator by in order to get the same fraction as the other.
To find this number, we can start by finding the greatest common divisor (GCD) of 712 and 48. The GCD of two numbers is the largest number that divides both of them without leaving a remainder.
The prime factorization of 712 is 2 * 2 * 2 * 89
The prime factorization of 48 is 2 * 2 * 2 * 2 * 3
The GCD of 712 and 48 is 2 * 2 * 2 = 8
To make the fractions equivalent, we can multiply both the numerator and denominator of 712 by 6, which is 8 divided by the GCD.
712 * 6 = 4272
48 * 6 = 288
Therefore, the number that will make the fractions equivalent is 4272.