What number must replace the missing numbers for the three fractions to become equivalent? 6/14 = ?/7 = 24/?? (1 point) ? = , ?? =
To find the missing numbers for the three fractions to become equivalent, we can set up a proportion:
6/14 = ?/7
To find the value for ?, we can cross multiply:
6 * 7 = 14 * ?
42 = 14?
Now, we can divide both sides of the equation by 14 to solve for ?:
42/14 = ?/14
3 = ?
So, ? = 3.
Next, we can set up another proportion to find the value of ??:
?/7 = 24/??
To find the value for ??, we can cross multiply:
? * ?? = 7 * 24
Now, we can divide both sides of the equation by ? to solve for ??:
?? = (7 * 24)/?
Since we already determined that ? equals 3, we can substitute that value in:
?? = (7 * 24)/3
?? = 168/3
?? = 56
Therefore, ? = 3 and ?? = 56.