Convert 0.36 to a Simplified Fraction: Step-by-Step Solution

Question

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

$0.36=$

00:07 Let's write this as a simple and reduced fraction.

00:11 Divide each digit after the decimal by the place value it represents.

00:16 Next, place the correct denominator underneath.

00:21 Now, reduce it by dividing both the top and bottom numbers by their greatest common factor.

00:33 And that's how we solve the problem! Great job!

Since there are two digits after the decimal point, we divide 36 by 100:

$\frac{36}{100}$

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

In this case, the number is 4, so:

$\frac{36:4}{100:4}=\frac{9}{25}$

$\frac{9}{25}$