Convert 18.25 to a Simplified Fraction: Decimal to Fraction Exercise

Convert into a mixed fraction:

18.25 18.25

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert into a mixed fraction:

18.25 18.25

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 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}

3

Final Answer

1814 18\frac{1}{4}

Practice Quiz

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Reduce the following fraction:

\( 0.30 \)

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