To convert the decimal 0.0625 into a fraction, follow these steps:
- Recognize the decimal: 0.0625 can be read as ‘625 ten-thousandths’ since there are four digits after the decimal point.
- Write it as a fraction: This means we can express 0.0625 as:
- Simplify the fraction: Next, we’ll want to simplify this fraction. To do this, we need to find the greatest common divisor (GCD) of 625 and 10000. The GCD of 625 and 10000 is 625.
- Divide both the numerator and the denominator by the GCD:
- State the simplified fraction: Therefore, we can express 0.0625 as:
0.0625 = 625 / 10000
625 ÷ 625 = 1
10000 ÷ 625 = 16
0.0625 = 1 / 16
In conclusion, the decimal 0.0625 converts to the fraction 1/16. This fraction is already in its simplest form!