Converting Decimal Numbers into Fractions
The fractional forms of the following decimal numbers are popular because they are commonly used.

0.75 -> 3/4


0.50 -> 1/2


0.25 -> 1/4


0.10 -> 1/10




Convert decimals into fractions by following these steps:



  1. Write down the decimal into fraction form, with 1 as the denominator.

  2. Count how many decimal places are in the decimal number.

  3. Write down 1 followed by the number of zeroes equal to your answer in Step 2.

  4. Multiply both numerator and denominator by the number result in Step 3.

  5. Simplify or reduce the resulting fraction.





Let's use the steps above to transform 0.15 into a fraction.

Step 1. Write down the decimal into fraction form, with 1 as the denominator.

0.15/1





Step 2. Count how many decimal places are in the decimal number.

There are two decimal places in 0.15.



Step 3. Write down 1 followed by the number of zeroes equal to your answer in Step 2.

100 < we have 100 because there are 2 decimal places, which mean will need two zeroes to eliminate the decimal point



Step 4. Multiply both numerator and denominator by the number result in Step 3.

0.15/1 x 100/100 = 15/100





Step 5. Simplify or reduce the resulting fraction.

15/100 = 3/20





Now, lets try another one: 1.5

Step 1. 1.5/1

Step 2. There is one decimal place in 1.5.

Step 3. 10

Step 4. 1.5/1 x 10/10 = 15/10

Step 5. 15/10 = 3/2 or 1 1/2


Resource

Browse Common Decimals
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