What number must replace x and y for the three fractions to become equivalent? 6/14 = x7 = 24/y

1 answer

To find the missing numbers x and y, we need to set up an equation based on the given information.

The first fraction is 6/14, which simplifies to 3/7 by dividing both the numerator and denominator by their greatest common divisor, which in this case is 2.

The second fraction is x/7, and the third fraction is 24/y.

Now, we have the equation 3/7 = x/7 = 24/y.

To find x, we can cross multiply: 3 * 7 = 7 * x, which gives us 21 = 7x. Dividing both sides by 7, we find that x = 3.

To find y, we can cross multiply again: 3 * y = 7 * 24, which simplifies to 3y = 168. Dividing both sides by 3, we find that y = 56.

Therefore, x must be 3 and y must be 56 for the three fractions to become equivalent.