Convert 15.96 to a Simplified Fraction: Decimal Transformation

Convert into a mixed fraction:

15.96 15.96

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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!

Step-by-step written solution

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1

Understand the problem

Convert into a mixed fraction:

15.96 15.96

2

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 96 by 100 and add 15, as follows:

15+96100 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+96:4100:4=15+2425=152425 15+\frac{96:4}{100:4}=15+\frac{24}{25}=15\frac{24}{25}

3

Final Answer

152425 15\frac{24}{25}

Practice Quiz

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Reduce the following fraction:

\( 0.30 \)

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