write 0.93 reapeating as a fraction qustion llc

Answer 1

To express 0.93 as a fraction, we can use the following steps:
Let x = 0.93 (repeating)

Multiply both sides of the equation by 100 (since there are two digits after the decimal point) to remove the repeating decimal:
100x = 93.93 (repeating)

Now, subtract the original equation from the new equation to eliminate the repeating decimal:
100x - x = 93.93 - 0.93
99x = 93

Finally, divide both sides of the equation by 99 to solve for x:
x = 93/99

Therefore, 0.93 (repeating) is equal to 93/99 as a fraction.