Convert 0.36 to a Simplified Fraction: Step-by-Step Solution

Name: Video Solution: Convert 0.36 to a Simplified Fraction: Step-by-Step Solution
Description: Step-by-step video solution

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

$0.36=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's write this as a simple and reduced fraction.

00:11 Divide each digit after the decimal by the place value it represents.

00:16 Next, place the correct denominator underneath.

00:21 Now, reduce it by dividing both the top and bottom numbers by their greatest common factor.

00:33 And that's how we solve the problem! Great job!

Step-by-step written solution

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Understand the problem

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

$0.36=$

Step-by-step solution

Since there are two digits after the decimal point, we divide 36 by 100:

$\frac{36}{100}$

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

In this case, the number is 4, so:

$\frac{36:4}{100:4}=\frac{9}{25}$

Final Answer

$\frac{9}{25}$

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

$$ 0.30 $$

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