Convert the following repeating decimal to a fraction in simplest form. .91 repeating. with 1 repeating
Let's call the repeating decimal .91. To convert this repeating decimal to a fraction, we can follow these steps:
Step 1: Let x = .91
Step 2: Multiply both sides of the equation by 100 to move the decimal point two places to the right:
100x = 91
Step 3: Subtract x from both sides of the equation:
100x - x = 91 - x
99x = 91
Step 4: Divide both sides of the equation by 99:
x = 91/99
Therefore, the repeating decimal .91 (with 1 repeating) can be written as the fraction 91/99 in simplest form.