.3125 as a Fraction

Writing .3125 as a fraction requires us to multiply 0.3125/1 by 10000/10000 which will result in 3125/10000. Simplifying further we get the final answer: 5/16.

What Is .3125 as a Fraction?

.3125 as a fraction in lowest terms is 5/16. Quick tip: to verify the answer is correct, use a calculator to divide 5 by 16 and you should get 0.3125.

How to Work Out .3125 as a Fraction

The simple steps below will help you convert a decimal into a fraction. In this example we’ll demonstrate how to write .3125:

1. Turn 0.3125 into a fraction dividing it by 1.
   0.3125 1
2. To get rid of the decimal point, multiply the numerator and denominator by 10000. Why 10000? .3125 has four digits after the decimal point, so you need to multiply by 1 followed by 4 zeros (10000).
   0.3125 1

   ×

   10000 10000

   =

   3125 10000
3. Divide 3125 and 10000 by their Greatest Common Divisor (GCD), which in this case is 625.
   3125 ÷ 625 10000 ÷ 625
4. In conclusion, .3125 as a fraction in simplest form is:
   5 16