Equivalent Fractions and Mixed Numbers Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
What number must replace x
and y
for the three fractions to become equivalent?

614 = x7 = 24y

(1 point)
x =
, y =
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Answer 1

To find the values of x and y that make the three fractions equivalent, we need to simplify each fraction.

614 = x7 = 24y

Let's start by simplifying 614. The factors of 614 are 2 and 307:

614 = 2 * 307

Next, let's simplify 24y. The factors of 24 are 2, 3, 4, 6, 8, 12, and 24. We divide 24y by these factors until we get a whole number:

24y = 2 * 2 * 2 * 3 * y = 8 * 3 * y = 24y

Now we can compare the factors of 614 and 24y:

614 = 2 * 307
24y = 2 * 2 * 2 * 3 * y

To make the fractions equivalent, we need to find the values of x and y that make these factors the same. From the factors above, we can see that the values of x and y are:

x = 307
y = 3

So, x = 307 and y = 3 must replace x and y for the three fractions to become equivalent.