what is 8.72 repeating as a fraction
To find the fraction equivalent of the repeating decimal 8.72, we can follow these steps:
Step 1: Let x = 8.7272...
Step 2: Multiply x by 100 to move the decimal point two places to the right:
100x = 872.7272...
Step 3: Subtract x from 100x to eliminate the repeating part:
100x - x = 872.7272... - 8.7272...
99x = 864
Step 4: Simplify the equation by dividing both sides by 99:
x = 864/99
Therefore, the fraction equivalent of the repeating decimal 8.72 is 864/99.