A mixed fraction is a fraction that consists of a whole number and a proper fraction. A mixed number is used to represent a decimal and it contains a whole and fractional part. You can readily convert a mixed number into a decimal number. The mixed number fractions always have a whole number and proper fraction.

Mixed fractions are the combination of a whole number and a proper fraction. Mixed numbers are simple to understand for example, you want to convert 2.5 into a mixed fraction. Then the first part of the mixed fraction is 2 and the fractional part is equal to (1/2). The final value of the mixed fraction is 2(1/2). So the decimal value of 2.5 is 2(1/2) you can convert decimal numbers directly to mixed fractions with the mixed fraction calculation.

Definition

A mixed fraction has a whole number and a proper fraction.

Example

2(1/7) is mixed fraction where 2 is while number and (1/7) is fractional part or proper fraction.

How to convert Improper fractions into a mixed fraction

Covert 15/7 into a mixed fraction

Solution

Follow the steps 

• Divide the fraction numerator by denominator 
• Then 2 is a quotient, 1 is remainder and 7 is the divisor
• The denominator is the same which is 7 
• Then the mixed fraction is 2(1/7)

You can convert a mixed fraction into an improper fraction with the online mixed number calculator.

How to Add Mixed Fractions?

You can add two mixed fractions by the following procedure:

• Convert both fractions into improper fractions 
• Now add both the improper fractions
• Add the numerator only if both the improper fractions have the same denominator 
• Take the LCM of mixed fractions if denominator is different 

Add Fraction of Same Denominator

Let’s suppose two mixed fractions 2(3/5) and 1(4/5)

Solution:

2(3/5), 1(4/5)

Covert them into the improper fractions 

2(3/5) = 13/5

1(4/5) = 9/5

Both the improper fractions have the same denominator. You can find their addition just by adding the numerator.

13/5 + 9/5 = 22/5 

Here, only adding the 13 and 9 as both the fractions have the same denominator.

Add Fractions of Different Denominators

Let’s suppose two mixed fraction 2(1/3) and 1(2/5)

2 (1/3) = (3 * 2 + 1)/3

2 (1/3) = 7/3

1 (2/5) = (5 * 1 + 2)/5 

1 (2/5) = 7/5

Now add improper fractions 7/3 and 7/5, you need to recognize both fractions have different denominators.

7/3 +7/5 = 35/15 + 21/15 = 56/15

Here 15 is the common denominator of both the fractions.

Find the addition of two fractions with the mixed number calculator in a matter of seconds. You can apply the different arithmetics operations like subtraction, multiplication, and division with the online tool.