Question

What number must replace x
and y
for the three fractions to become equivalent?

614 = x7 = 24y

Answer 1

What number must replace x
and y
for the three fractions to become equivalent?

6/14 = x/7 = 24/y

Answer 2

To find the values of x and y that make the three fractions equivalent, we need to divide both sides of the equation by the number on the left side of the equals sign.

614 = x7 = 24y

First, let's divide both sides by 7 to solve for x:

614/7 = x
87.71 = x

Therefore, x must be approximately 87.71 to make the fractions equivalent.

Next, let's divide both sides by 24 to solve for y:

614/24 = y
25.58 = y

Therefore, y must be approximately 25.58 to make the fractions equivalent.

Answer 3

To find the values of x and y that make the three fractions equivalent, we need to set up a proportion and solve for x and y.

First, let's set up the proportion using the given fractions:

6/14 = x/7 = 24/y

To find x, we cross multiply the fractions:

6 * 7 = 14 * x
42 = 14x
x = 42/14
x = 3

Therefore, x must be 3 to make the fractions equivalent.

To find y, we cross multiply the fractions:

6 * y = 14 * 24
6y = 336
y = 336/6
y = 56

Therefore, y must be 56 to make the fractions equivalent.