Convert Decimal to Fraction

Lesson Objective

In this lesson, we will learn how to convert decimal to fraction.

Study Tips

Tip #1

The example below shows how you can convert 0.12 to a fraction:

0.12 has two decimal places. To remove the decimal point in 0.12, we can multiply 0.12 with 100. This gives 12, as shown below:
Since we multiplied 0.12 with 100 to get 12, it is important to divide 12 by 100 so that it will remain equivalent to 0.12. By doing so, we have a fraction as shown below:

$the fraction 12/100$
Notice that, we can simplify ¹²/₁₀₀ by dividing the numerator and denominator with 4.

$simplifying this fraction$
Hence, we get ³/₂₅.

$0.12 in the form of fraction is 3/25$

The math video below will give more explanation on this. Also, we will see some examples it.

Math Video

Lesson Video

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Math Video Transcript

00:00:03.210
In this lesson, we will learn how to convert decimal to fraction.

00:00:09.150
Let's start by analyzing this fraction, 1/2. Now, we know that this fraction is the same as 1 divided by 2.

00:00:20.090
By dividing, we get 0.5.

00:00:24.190
Now, if we are given 0.5, how do we convert 0.5 back to fraction, 1/2? Here’s how.

00:00:35.210
Logically, to convert 0.5, we need to find a way to remove this decimal point.

00:00:43.110
To do so, since 0.5 has 1 decimal place, we can multiply it with 10.  By doing so, we get 5.

00:00:54.080
However, since we multiply 0.5 with 10, we have to divide it by 10 to keep the equation equal.

00:01:02.190
Now, we have, (0.5x10)/10. Simplifying the numerator gives the fraction, 5/10.

00:01:14.050
Note that, we can simplify this fraction, by dividing the numerator and denominator with 5.  

00:01:21.240
This gives 1/2.

00:01:24.230
With this, we have successfully converted 0.5 to a fraction, 1/2.

00:01:35.180
Now, let's take a look at more examples to convert decimal to fraction.

00:01:41.170
Convert 0.19 to a fraction.

00:01:46.030
Now, since 0.19 has 2 decimal places, we can remove the decimal point, by multiplying 0.19 with 100.

00:01:56.240
This gives 19.

00:02:00.050
Since we multiplied with 100, we need to divide 19 with 100, so that this term remains equal to 0.19.

00:02:10.160
Now, we have a fraction and this fraction cannot be simplified. Hence, we have converted 0.19 to a fraction, 19/100.

00:02:25.160
Next example convert 0.128 to a fraction.

00:02:31.130
Similar to the previous example, since 0.128 has 3 decimal places, we can remove the decimal point by multiplying 0.128 with 1000.

00:02:44.090
This gives 128. Now, since we multiplied by 1000, we need to divide 128 with 1000 to keep this term equals to 0.128.

00:02:59.030
Hence, we have 128/1000.

00:03:05.010
Now, notice that we can simplify this fraction by dividing the numerator and denominator with 8.

00:03:12.020
By doing so, we get 16/125. This fraction cannot be simplified further. Therefore, 0.128 in the form of fraction is, 16/125.  

00:03:29.160
This is all for this lesson. Try out the practice questions to further your understanding.

Practice Questions & More

Multiple Choice Questions (MCQ)

Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on how to convert decimal to fraction or pick your choice of question below.

Question 1 on converting 0.15 to a fraction
Question 2 on converting 2.1 to a fraction

Site-Search and Q&A Library

Please feel free to visit the Q&A Library. You can read the Q&As listed in any of the available categories such as Algebra, Graphs, Exponents and more. Also, you can submit math question, share or give comments there.

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