Methods of Adding Mixed Numbers

Adding mixed numbers in mathematics refers to summing up the two sets of whole numbers and fractional parts. Dear students, you will learn in this blog how to add mixed numbers using different methods. You can now solve mixed number problems conveniently, just go through this blog thoroughly.

So, let's discuss how to add mixed fractions step by step for each distinct method.

Adding Mixed Numbers with Common Denominators

For Adding mixed numbers with common denominators, follow these steps

• Add the whole numbers separately
• Keep the denominator the same and add the numerators
• Combine the sum

Example:

Consider this example for a better understanding

• We have these two mixed numbers

• Add their whole numbers first:

• Add their fractional parts

• Add the resulting answer to the whole number sum:

Method 2 of Adding Mixed Numbers With Same Denominators

You will learn the second method of adding mixed fractions with same denominators. This method involves the following steps. Let’s understand it with the help of an example.

Consider we have

We will add them with easy steps.

• First, convert the mixed number or fraction into the improper fraction. For this, multiply the denominator with the whole number and add the numerator. The denominator will remain the same.

• Calculate the equation.

• Add numerators and keep denominators the same.

So, on addition of two mixed numbers 427 and 357, we get the answer 8. 

Adding Mixed Numbers with Uncommon Denominators

For Adding mixed numbers with uncommon denominators, consider these steps

• First, convert the mixed numbers to improper fractions
• Find the least common denominator
• Rewrite the fractions once they have the common denominators
• Proceed to improper fractions adding
• If the resulting fraction is improper, convert it back to the mixed number

Example:

Consider this example for a better understanding

• We have these two mixed numbers

• Convert them to improper fractions

• Find the least common denominator LCD by taking the product of the resulting denominators,

• Rewrite and perform the addition of fractions

• Convert the resulting fraction to a mixed number