Convert 36.105 to a Simplified Decimal Fraction: Step-by-Step Solution

Convert into a mixed fraction:

36.105 36.105

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's write this as a simplified fraction.
00:09 Divide each number after the decimal by the proper value for each place.
00:16 Next, choose the right denominator to match.
00:20 And don't forget to add thirty-six to it.
00:28 Simplify by dividing both the top and bottom as much as you can.
00:46 And that's how we find 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:

36.105 36.105

2

Step-by-step solution

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

Since there are 3 digits after the decimal point, we'll divide 105 by 1000 and 36, as follows:

36+1051000 36+\frac{105}{1000}

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 5:

36+105:41000:4=36+21200=3621200 36+\frac{105:4}{1000:4}=36+\frac{21}{200}=36\frac{21}{200}

3

Final Answer

3621200 36\frac{21}{200}

Practice Quiz

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Reduce the following fraction:

\( 0.30 \)

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