Adding Mixed Numbers

On Monday, we learned how to add mixed numbers.

A situation that was given to us was:
On Pizza day, 1 5/6 of cheese pizza, and 1 5/6 of bacon pizza were left. How many altogether?


Steps:
1) Add whole numbers.
2) Find a common denominator for fractions.
3) Add fractions.
4) Add whole numbers to fractions.


This is the situation changed into a mathematical equation:
1 + 1 + 5/6 + 5/6 =

How to solve it:

2 + 5/6 + 5/6 =
2 + 10/6 =
2 + 6/6 + 4/6 =
2 + 1 + 4/6 =
3 4/6 =
3 2/3

The answer is 3 2/3.

Another way to add mixed numbers is using a diagram.


Take one from the last one to make the second 1 whole. That gives us 3 wholes and 4/6 in lowest terms is 2/3.




We did some practice with adding mixed numbers:

Like-denominators:
a) 1 1/3 + 2 1/3 =
3 + 1/3 + 1/3 =
3 + 2/3 =
3 2/3

b) 3 1/6 + 2 5/6 =
5 + 1/6 + 5/6 =
5 + 6/6 =
5 + 1 =
6

c) 3 2/3 + 2/3 =
3 + 4/3 =
3 + 1 + 1/3 =
4 + 1/3 =
4 1/3


Unlike-denominators:
a) 1 1/2 + 2 1/3 =
6 + 1/2 + 1/6 =
6 + 4/6 =
6 4/6 =
6 2/3

b) 2 1/2 + 4 1/6 =
6 + 1/2 + 1/6 =
6 + 4/6 =
6 4/6 =
6 2/3

c) 3 3/5 + 1/2 =
3 + 11/10 =
3 + 1 + 1/10 =
4 + 1/10 =
4 1/10

Mixed numbers can be expressed in 4 ways: 1 1/2, 1.5, One and one half, 1 + 1/2.

Here is a great website for adding mixed numbers!

The video shown here helps you understand more about adding mixed numbers with unlike denominators:

Make sure to leave a comment!