Question

0.892 is a repeating decimal as a fraction

Answer 1

To convert 0.892 to a fraction, we can let x = 0.892 and multiply both sides of the equation by 1000 to eliminate the decimal point:

1000x = 892

Now we can subtract x from both sides:

1000x - x = 892 - x

Simplifying:

999x = 892

To express this as a fraction, we can write:

x = 892/999

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 1:

x = 892/999

Therefore, the fraction form of 0.892 is 892/999.