I just don't understand how my math book came up with the answer of 147/1250. I have tried every way I could and still came up with a decimal and not a fraction at all.

If you're still wondering how to come up with

1176

10000

11.76% = 0.1176

Divide it by 1. You don't need to write this step down. It just shows you how it works.

0.1176 = 0.1176

1

Multiply both the numerator and denominator by 10 until both numbers are integers. This is the same as shifting the decimal point to right 4 times.

0.1176 = 0.1176 = 1176

1 10000

Now it's a normal fraction.

Simplify the fraction and you're done.