15.375 as a Fraction

Writing 15.375 as a fraction requires us to multiply 15.375/1 by 1000/1000 which will result in 15375/1000. Reducing further we get the answer: 123/8. Because this is an improper fraction it can also be written it as a mixed number 15 3/8.

Writing 15.375 as a fraction requires us to multiply 15.375/1 by 1000/1000 which will result in 15375/1000. Simplifying further we get the final answer: 123/8.

What Is 15.375 as a Fraction?

15.375 as a fraction in lowest terms is 123/8. Quick tip: to verify the answer is correct, use a calculator to divide 123 by 8 and you should get 15.375.

How to Work Out 15.375 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 15.375 as a simplified fraction:

1. Turn 15.375 into a fraction dividing it by 1.
   15.375 1
2. To get rid of the decimal point, multiply the numerator and denominator by 1000. Why 1000? 15.375 has three digits after the decimal point, so you need to multiply by 1 followed by 3 zeros (1000).
   15.375 1

   ×

   1000 1000

   =

   15375 1000
3. Divide 15375 and 1000 by their Greatest Common Divisor (GCD), which in this case is 125.
   15375 ÷ 125 1000 ÷ 125
4. In conclusion, 15.375 as a fraction in simplest form is:
   123 8
5. Since 15.375 is greater than 1, the resulting fraction is an improper fraction. For this reason we can also write 123/8 as a mixed number:
   15

   3 8