Convert 0.630 to a Simplified Fraction: Step-by-Step Solution

Question

Write the following decimal fraction as a simple fraction and simplify:

$0.630$

00:07 Let's start by writing the number as a simple fraction.

00:11 Next, divide each digit after the decimal point by the value it represents, like tenths or hundredths.

00:19 Now, place the correct denominator to match that value.

00:24 Finally, reduce the fraction as much as possible by dividing both the numerator and denominator by their greatest common factor.

00:39 And that's how we solve this problem!

Since there are three digits after the decimal point, we divide 630 by 1000:

$\frac{630}{1000}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 10, so:

$\frac{630:10}{1000:10}=\frac{63}{100}$

$\frac{63}{100}$