.105 as a Fraction

Writing .105 as a fraction requires us to multiply 0.105/1 by 1000/1000 which will result in 105/1000. Simplifying further we get the final answer: 21/200.

What Is .105 as a Fraction?

.105 as a fraction in lowest terms is 21/200. Quick tip: to verify the answer is correct, use a calculator to divide 21 by 200 and you should get 0.105.

How to Work Out .105 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 .105:

1. Turn 0.105 into a fraction dividing it by 1.
   0.105 1
2. To get rid of the decimal point, multiply the numerator and denominator by 1000. Why 1000? .105 has three digits after the decimal point, so you need to multiply by 1 followed by 3 zeros (1000).
   0.105 1

   ×

   1000 1000

   =

   105 1000
3. Divide 105 and 1000 by their Greatest Common Divisor (GCD), which in this case is 5.
   105 ÷ 5 1000 ÷ 5
4. In conclusion, .105 as a fraction in simplest form is:
   21 200