Adding & Subtracting Mixed Numbers Examples

First, change each mixed number into an improper fraction

The LCM of 4 and 6 is 12, so we need to convert each fraction to one with a denominator of 12.

 and 

Add the numerators, keep the denominator. 

Since  is improper, we probably need to change it to a mixed number. Our answer is .

Change each mixed number into an improper fraction.

The LCM of 2 and 4 is 4, so we need to convert the first fraction to one with a denominator of 4.

Add the numerators, keep the denominator

Since  is improper, we may want to change it to a mixed number. Our answer is  .

Change each mixed number into an improper fraction.

The LCM of 5 and 2 is 10, so we need to convert each fraction to one with a denominator to 10.

 and 

Subtract the numerators, keep the denominator.

Since  is improper, we probably need to change it to a mixed number. Our answer is  .

Change each mixed number into an improper fraction.

The LCM of 3 and 6 is 6, so we need to convert the first fraction to one with a denominator of 6.

Subtract the numerators, keep the denominator.

Since  is improper, we probably need to change it to a mixed number. Our answer is  .

Convert each fraction to one with a common denominator of 12.

Add the whole numbers and add the fractions.

Convert each fraction to one with a common denominator of 4.

Add the whole numbers and add the fractions.

Since    is improper, we need to change it to a mixed number ().

Now, add that to 5, our whole number. Our final answer is .

Convert each fraction to one with a common denominator of 10.

 and 

Subtract the fractions and subtract the whole numbers.

Convert each fraction to one with a common denominator of 6.

Since we can't take away   from  , we need to borrow 1 whole or  from the 8. So, .

Now, subtract the whole numbers and the fractions.

Whew! That was long!