Convert Decimals to Fractions

Hi there! In this FREE CSE Reviewer post, we’re going to learn how to convert decimals to fractions. As you know, fractions and decimals are present in both the Sub-Professional and Professional Civil Service Exam. Acing this type of problem will help you pass the test more easily. Moreover, converting decimals to fractions can also be useful in many real-life situations, such as baking recipes or calculating the correct dosage of medicine.

Before we convert decimals to fractions, let’s first understand what decimals and fractions are. A decimal is a number that is expressed in the form of a base-10 number system with a decimal point. For example, 0.6, 1.35, and 3.44 are all decimals. On the other hand, a fraction is a number that represents a part of a whole. For example, 1/5, 2/8, and 3/7 are all fractions.

Now, let’s convert a decimal to a fraction. To do this, we’ll follow these 4 simple steps:

1. Identify the place value of the digits after the decimal, in the number.
2. Use that to determine what the denominator of the fraction would be.
3. Remove the decimal point. Re-write in the fraction form and simplify it.
4. Express in terms of the lowest Equivalent fraction.

Convert Decimals to Fractions Example

Convert 0.375 to a fraction.

Step 1: Identify the place value of the digits after the decimal, in the number. In this case, the digit 3 (the highest in the order) is in the thousandths place.

0.375

 

Step 2: Use that to determine what the denominator of the fraction would be. Since 3 is in the thousandths place, the denominator will be 1000.

0.375/1000

 

Step 3: Our convert to fraction process is almost complete! Remove the decimal point. Re-write in the fraction form and simplify it.

375/1000

 

Step 4: Express in terms of the lowest Equivalent fraction. You can do that by finding out their Greatest Common Factor or GCF which is 125.

375 ÷ 125 = 3

1000 ÷ 125 = 8

So, 0.375 can be expressed as a fraction as 3/8.

I hope you found this lesson helpful and will easily remember how to convert decimals to fractions. Keep practicing and soon you’ll be able to solve these kinds of questions in the Civil Service Exam easily. Now, head on over to the practice quiz below and test how much you remember from this Numerical Reasoning tutorial.

Converting Decimals to Fractions Practice Test

These exercises will help you get more familiar in converting decimals into fractions. Solve them by following the tutorial above. Please remember that to convert a decimal to a fraction, you need to write the decimal as a fraction with the decimal value in the numerator and a power of 10 in the denominator, and then simplify the resulting fraction if possible. Good luck with your practice!

1. 0.2 converted to fraction is ? 
2. 0.4 converted to fraction is ?
3. 0.25 converted to fraction is ? 
4. 0.75 converted to fraction is ? 
5. 0.6 converted to fraction is ? 
6. 0.135 converted to fraction is ? 
7. 0.33 converted to fraction is ? 
8. 0.66 converted to fraction is ? 
9. 0.875 converted to fraction is ? 
10. 0.1250 converted to fraction is ? 

11. 0.9 converted to fraction is ? 
12. 0.17 converted to fraction is ? 
13. 0.83 converted to fraction is ? 
14. 0.05 converted to fraction is ? 
15. 0.0125 converted to fraction is ? 
16. 0.393 converted to fraction is ? 
17. 0.747 converted to fraction is ? 
18. 0.083 converted to fraction is ? 
19. 0.032 converted to fraction is ? 
20. 0.696 converted to fraction is ? 

After you are done converting these decimals to fractions, just click on any of the share buttons below to reveal the answer keys.