Here we will go over two different methods to **add or subtract mixed numbers**. Find the way that is most natural for you – both will lead you to the right answer.

## Method #1: Change mixed numbers into improper fractions

1. Change all mixed numbers to improper fractions.

2. Express fractions using a common denominator.

3. Add or subtract the fractions.

4. Simplify your answer. Express as a mixed number if necessary.

## Method #2: Keep numbers as mixed numbers

*Addition*

1. Convert the fractional part of each number to a common denominator.

2. Add the whole numbers together.

3. Add the fractions.

4. If the resulting fraction is improper, change it into a mixed number and add that to the whole number.

*Subtraction*

1. Convert the fractional part of each number to a common denominator.

2. If the second fraction is larger than the first, borrow from the whole number in order to be able to subtract.

3. Subtract the whole numbers.

4. Subtract the fractions.

## Adding & Subtracting Mixed Numbers Practice:

| 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! |

Add

Hint

your common denominator is 40

Answer

Hint

your common denominator is 6

Answer

Hint

your common denominator is 14

Answer

Subtract

Hint

your common denominator is 8

Answer