Convert the following repeating decimal to a fraction in simplest form. .91 repeating. with 1- repeating
To convert the repeating decimal .91 repeating to a fraction, we can follow these steps:
1. Let x = .91 repeating
2. Multiply both sides by 100 to eliminate the decimal point: 100x = 91.91 repeating
3. Subtract x from both sides to eliminate the repeating part: 100x - x = 91.91 repeating - .91 repeating
Simplifying, we have: 99x = 91
4. Divide both sides by 99 to isolate x: x = 91/99
Therefore, the repeating decimal .91 repeating is equivalent to the fraction 91/99 in simplest form.