Convert 18.25 to a Simplified Fraction: Decimal to Fraction Exercise

Question

Convert into a mixed fraction:

18.25 18.25

Video Solution

Step-by-Step Solution

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+25100 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+25:25100:25=18+14=1814 18+\frac{25:25}{100:25}=18+\frac{1}{4}=18\frac{1}{4}

Answer

1814 18\frac{1}{4}