Convert 0.303 to a fraction

Decimal to Fraction Calculator

Result: 0.303 as a fraction = 303/1000 or 303/1000

How to convert 0.303 to a fraction?

Step 1

The first step of converting any decimal to a fraction is to write it as a fraction.

Put the decimal value as the numerator (the number at the top) and 1 as the denominator (the number at the bottom). No matter what the decimal number is, we always use 1 as the denominator.

0.303 as 0.303/1

Step 2

We now multiply both the numerator and the denominator by the power of 10 for every digit there is after the decimal point. We can write this as:

0.303/1 = 0.303 x 1000/1 x 1000 = 303/1000

Step 3

Reduce the fraction into its simplest form, which is when the numerator and denominator cannot be any smaller.

We work out the simplest form by finding the Greatest Common Factor (GCF). A factor is a number that will divide into another without remainder, and the Greatest Common Factor is the largest number that is a factor of two or more numbers.

What we need to do is find the GCF of 303 and 1000.

The factors of 303 are: 1, 3, 101, 303

The factors of 1000 are: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

If we look at the two sets of numbers we’ve listed, the Greatest Common Factor for both 303 and 1000 is: 1

So to reduce the fraction we divide 303 and 1000 by 1.

303/1000 = 303 ÷ 1/1000 ÷ 1 = 303/1000

Therefore, 0.303 as a fraction = 303/1000 or 303/1000