Convert 15.96 to a Simplified Fraction: Decimal Transformation

Question

Convert into a mixed fraction:

$15.96$

00:04 Let's write this as a simplified improper fraction.

00:08 To do this, divide each digit after the decimal by its place value.

00:14 Place the right denominator under the fraction.

00:18 Don't forget to add fifteen to the fraction.

00:27 Now, reduce it by dividing both the top and bottom by the same number.

00:44 And that's how we find the solution to this problem!

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

Since there are 2 digits after the decimal point, we'll divide 96 by 100 and add 15, as follows:

$15+\frac{96}{100}$

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 4:

$15+\frac{96:4}{100:4}=15+\frac{24}{25}=15\frac{24}{25}$

$15\frac{24}{25}$