3/8 x

__ = __
3 5/12

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Please do not double-post. It's a good way to get your posts removed.

Do you mean?

3 / 8x = 3 / 5/12

Or --

3/8 / x = 3 / 5/12

To solve this fraction equation, you need to cross-multiply.

First, multiply the numerator of the first fraction (3/8) by the denominator of the second fraction (5/12):

3/8 * 5/12 = (3 * 5) / (8 * 12) = 15/96

Next, multiply the denominator of the first fraction (3) by the numerator of the second fraction (3/5):

3 * (3/5) = 9/5

Now, you have the equation:

15/96 = 9/5

To determine if these two fractions are equal, you can find a common denominator and compare the numerators.

Since 96 and 5 don't have any common factors, the common denominator is the product of 96 and 5.

96 * 5 = 480

Now, you can rewrite both fractions with the common denominator:

15/96 = (15/96) * 1 = (15/96) * (480/480) = 720/480

9/5 = (9/5) * 1 = (9/5) * (96/96) = 864/480

Now that both fractions have the same denominator, you can compare the numerators:

720/480 = 864/480

These two fractions are equal, and the solution to the equation is:

x = 720/480 or x = 864/480