What number can replace y in this equation to make the two fractions equivalent, 5/30 = 1/y

Answer 1

To make the two fractions equivalent, we need to find the value of y that makes the right-hand side of the equation, 1/y, equal to the left-hand side, 5/30.

First, simplify the left-hand side:
5/30 = 1/6

Now, we have 1/6 = 1/y.

To make the fractions equivalent, the numerators must be equal and the denominators must be equal.

The numerator is 1 in both fractions.

Therefore, we can set up an equation for the denominators:

6 = y

So, the number that can replace y to make the two fractions equivalent is 6.