What number must replace x

Question

and y
for the three fractions to become equivalent?

6/14 = x/7 = 24/y

Answer 1

To find the equivalent fractions, we can cross-multiply:

6y = 14x
7x = 24y

To eliminate fractions, we can set y = 1 and solve for x:

6(1) = 14x
6 = 14x
x = 6/14 = 3/7

Now, let's set x = 1 and solve for y:

7(1) = 24y
7 = 24y
y = 7/24

Therefore, the numbers that should replace x and y for the three fractions to become equivalent are x = 3/7 and y = 7/24.