Convert 18.25 to a Simplified Fraction: Decimal to Fraction Exercise

Question

Convert into a mixed fraction:

$18.25$

00:05 Let's write this as a simple fraction.

00:08 Divide each number after the decimal by its place value.

00:13 Add the correct denominator.

00:16 Don't forget to add 18 to your total.

00:28 Reduce the fraction. Divide both the top and bottom as much as you can.

00:43 And there you have it! That's the answer.

Let's write the decimal fraction as a mixed fraction.

Since there are 2 digits after the decimal point, we'll divide 25 by 100 and add 18, as follows:

$18+\frac{25}{100}$

Now let's divide the simple fraction by the highest number that can divide both the numerator and denominator, in this case the number is 25:

$18+\frac{25:25}{100:25}=18+\frac{1}{4}=18\frac{1}{4}$

$18\frac{1}{4}$