repeating decimals
Posted in: Basic Maths Skills, Fractions, Numbers

Turn decimal into fraction and percentage

Turning decimals into fractions and percentages or vice versa requires recalling the common decimal numbers and the place value of numbers. 

Here is how to turn a fraction to its decimal or percentage equivalent:

  • remember the 10 common decimal numbers and their fractions and percentages equivalents, and
  • apply the rule of multiplying top and bottom number by 10, 100, 1000,

Turn 10 common decimals to fractions or percentages by recall

DecimalFractionPercentage
0.1¹/1010%
0.12512.5%
0.2
20%
0.25¼25%
33.3…33⅓%
0.440%
0.566⅔%
0.6½50%
66.6…60%
0.75¾75%

These 10 decimals and their equivalent fractions (and percentages) are often used in primary and secondary schools maths tests and exams.

Memorising the decimals will make it really quick and easy to solve related mathematics problems as/when they appear.

Practice Exercise 1: Turn the decimals into fractions by recall:

  1. 0.1   =
  2. 0.25 =

(Let us know your answers in the comment)

Recalling the 10 decimal numbers will make it easier to change them to fractions and decimals or the other way around.

Turn Decimals to Fractions by working out

To change a decimal number to its equivalent fraction follow these steps:

  • Write down the decimal over one (i.e. decimal/1)
  • Multiply both top and bottom by 10, 100, 1000, etc
  • Simplify

Example: Convert 0.6 to the fraction

In this example, we’ll multiply 10  on the top and bottom due to one decimal place in 0.6 – one decimal place. If it is two decimal places, x 100, three decimal places x 1000, etc…

turn decimal to fraction and percentage

Practice Exercise 2: Change the following decimals to fractions. Give answers in simplest fractions.

1. 0.7   =

2. 0.04 =

Before you check out the Fraction Quiz, here is a book that provides great value. Do not miss it out!

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Multiple-choice Maths Quiz Questions and Answers – Fractions

1. What is 0.125 as a fraction?

A. ⅛

B. ⅕

C. ¾

D. ⅗

2. Which of the following is fractions has a repeating decimal equivalent?

A. ⅛

B. ⅓

C. ¾

D. ⅗

3. To turn 0.009 into a fraction, multiply by

A. 10.

B. 100.

C. 1,000.

D. 10,000.

5. What is ⅔ in percentage?

A. 66⅔%

B. ⅔%

C. 25%

D. 23%

Recommended: Mental Maths to Know

Maths is fun when you can find easy ways to solve problems. Having said that, common maths can be tricky. In an earlier post, we attempt to show some fun ways to add, subtract, multiply and divide two and three-digit numbers.

The patterns are ‘fun’ to follow and can also be applied when turning decimals into fraction or percentages. An example is shown below, see the full explanation here.

Multiply two digit number by partitioning & combining

Adding and subtracting fractions with the same denominators

If you find the practice helpful, check the work on adding and subtracting fractions. The article gives the steps from simplifying fractions. You’ll find the examples and practice exercises easy to follow. You can also try the Fraction Quiz.

Better still, the whole content is converted to a worksheet to download for free.

 

– Answers  – 

Practice Exercise 1

1. 1/10    2. 1/4

Practice Exercise 2

1. 7/10   2. 1/25

Multiple-choice Quiz Answers

1. A   2. B   3.   4. A

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