Convert Decimal to Fraction: Finding the Fractional Form of 0.031

Question

Convert into fraction form:

0.031

00:05 Let's turn our decimal into a fraction.

00:08 First, we'll align each digit with its place value, just like in division.

00:13 Next, add a zero to the end of our fraction.

00:18 Put all numbers after the decimal in the numerator.

00:22 And, match the denominator with the highest decimal place value.

00:27 And that's how we find the solution to our problem!

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

$\frac{0031}{1000}$

We'll then proceed to remove the unnecessary zeros as follows:

$\frac{31}{1000}$

$\frac{31}{1000}$