Convert decimals to mixed numbers

key notes:

Converting Decimals to Mixed Numbers

• A decimal with a whole part can be written as a mixed number.
• In decimals, the digits to the left of the decimal point represent the whole part and the digits to the right of the decimal point represent the decimal or fraction part.
• To convert a decimal to a mixed number, leave the whole number as same and convert the decimal part.
• Reduce fractions after changing from decimal form.

If you can convert a decimal to a fraction, you can easily convert a decimal with a whole part to a mixed number.

A decimal with digits to the left of the decimal point indicates there is a whole part and some parts of a whole.

For example, 2.75 or two and seventy-five hundredths means there are two whole parts and an additional seventy-five out of one hundred parts.

When you are converting a number with digits both to the left and right of the decimal point, only convert the decimal part or the digits to the right of the decimal point. In other words, just leave the whole number as same and convert the decimal!

Let’s take a look at some examples.

Write 1.2 as a fraction.

Change the decimal 0.2 to a fraction.0.2 = 2/10  Now, reduce the fraction 2/10 to its lowest form.  2 ÷ 2 / 10 ÷ 2 = 1/5  

So, 1.2 = 1 1/5   

Example 2

Write 3.25 as a fraction.

Change the decimal 0.25 to a fraction.0.25 = 25/100  Now, reduce the fraction 25100 to its lowest form.  25 ÷ 25/100 ÷ 25 = 1/4  

So, 3.25 = 3 1/4   

Example 3

Write 25.4 as a fraction.

Change the decimal 0.4 to a fraction.0.4 = 4/10  Now, reduce the fraction 4/10 to its lowest form.  4 ÷ 2 / 10 ÷ 2 = 2/5  

So, 25.4 = 25 2/5   

Example 4

Write 130.21 as a fraction.

Change the decimal 0.21 to a fraction.

0.21 = 21/100  The fraction 21/100 is in its lowest form only, as there is no common factor of numerator and denominator.

So, 130.21 = 130 21/100  

Learn with an example

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