Convert 0.630 to a Simplified Fraction: Step-by-Step Solution

Write the following decimal fraction as a simple fraction and simplify:

0.630 0.630

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's start by writing the number as a simple fraction.
00:11 Next, divide each digit after the decimal point by the value it represents, like tenths or hundredths.
00:19 Now, place the correct denominator to match that value.
00:24 Finally, reduce the fraction as much as possible by dividing both the numerator and denominator by their greatest common factor.
00:39 And that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the following decimal fraction as a simple fraction and simplify:

0.630 0.630

2

Step-by-step solution

Since there are three digits after the decimal point, we divide 630 by 1000:

6301000 \frac{630}{1000}

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 10, so:

630:101000:10=63100 \frac{630:10}{1000:10}=\frac{63}{100}

3

Final Answer

63100 \frac{63}{100}

Practice Quiz

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Reduce the following fraction:

\( 0.30 \)

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