How to Express 0.118 as a Fraction?

To express the decimal 0.118 as a fraction, we start by recognizing what the decimal represents. The number 0.118 can be interpreted as 118 thousandths because it is in the thousandths place.

We can write this as:

0.118 = 118 / 1000

Next, we need to simplify the fraction. To do this, we find the greatest common divisor (GCD) of the numerator (118) and the denominator (1000).

Upon examining the factors, we find that the GCD of 118 and 1000 is 2. Now, we can divide both the numerator and the denominator by their GCD:

118 ÷ 2 = 59

1000 ÷ 2 = 500

This gives us:

0.118 = 59 / 500

Thus, the decimal 0.118 expressed as a fraction is 59/500.