What are the steps to convert 0.375 to a fraction?

Answer 1

1. Since 0.375 has three digits after the decimal place, the appropriate denominator is 1 followed by three 0s = 1000.
2. So write the fraction as 375/1000.
3. Find a common factor of of the numerator and denominator of the fraction.
4. Divide both numbers by that common factor.
5. Go back to step 3 until the numerator and denominator are co-prime: that is, their only common factor is 1.
6. The last fraction is the answer in its simplest form.

In this case,

5 is a common factor of 375 and 1000 so the fraction can be simplified to 75/200.

5 is a common factor of 75 and 200 so the fraction can be further simplified to 15/40.

5 is a common factor of 15 and 40 so the fraction can be further simplified to 3/8.

3 and 8 are co-prime so the answer, in its simplest form, is 3/8.

Instead of finding a common factor at step 3, you could find the highest common factor (HCF), which is 125. In that case, go to steps 4 and then 6. There is no need to loop back to step 3.

Answer 2

Step one: Put it over one thousand.

Step two: You're done.

375/1000