How do you add mixed numbers?

To add mixed numbers, first add the whole number parts together. Next, find a common denominator (using the LCM) to add the fractional parts. Finally, combine the sum of the whole numbers and the sum of the fractions, simplifying if necessary.

How do you add 2 1/4 + 3 2/5?

Separate the whole parts and fractions: (2 + 3) + (1/4 + 2/5). Add the whole numbers to get 5. Find a common denominator for the fractions (20), yielding 5/20 + 8/20 = 13/20. Combine them to get the final result: 5 13/20.

Add Mixed Numbers Calculator | Step-by-Step Math Solutions

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Enter whole numbers for the whole parts, numerators, and denominators. No negative numbers are accepted.

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Adding Mixed Numbers Review

A step-by-step mixed numbers calculator is presented. The detailed steps help you understand the process of adding mixed numbers.

Steps to add mixed numbers:

Step 1: Rewrite the addition separating whole parts and fractional parts. \[ \displaystyle \color{red}{ 2 } \color{blue}{ \frac{1}{4}} + \color{red}{ 3 } \color{blue}{\frac{2}{5}} = \color{red}{(2+3)} + \color{blue}{ \left(\frac{1}{4}+\frac{2}{5}\right)} \]
Step 2: Add the fractions. \[ \displaystyle \color{blue}{ \left(\frac{1}{4}+\frac{2}{5}\right)} = \frac{13}{20} \]
Step 3: Add the whole parts and the sum of the fractions and simplify. \[ \displaystyle \color{red}{ 2 } \color{blue}{ \frac{1}{4}} + \color{red}{ 3 } \color{blue}{\frac{2}{5}} = \color{red}{ 2 + 3 } + \color{blue}{ \left(\frac{1}{4}+\frac{2}{5}\right)} = 5 \frac{13}{20} \]

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Adding Mixed Numbers Review

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