Solve for x: 7 over 8 minus 1 over x equals 3 over 4. a. x = 1 b. x = 2 c. x = 4 d. x = 8

Hi!

Let's write the equation in number form first.

7 over 8
7/8

minus 1
7/8 - 1

over x
7/8 - 1/x

equals 3
7/8 - 1/x = 3

over 4
7/8 - 1/x = 3/4

Now to find the value, let's put each option as the value for x.

A. x = 1
7/8 - 1/1 = 3/4
7/8 - 1 = 3/4
0.875 - 1 = 0.75
-0.125 = 0.75
This is wrong.

B. x = 2
7/8 - 1/2 = 3/4
7/8 - 0.5 = 3/4
0.875 - 0.5 = 0.75
0.375 = 0.75
This is wrong.

C. x = 4
7/8 - 1/4 = 3/4
7/8 - 0.25 = 3/4
0.875 - 0.25 = 0.75
0.625 = 0.75
This is wrong.

D. x = 8
7/8 - 1/8 = 3/4
7/8 - 0.125 = 3/4
0.875 - 0.125 = 0.75
0.75 = 0.75
This is correct!

The answer is d. x = 8

Hope this helps! :)
-Peredhel