## Add and Subtract Unlike Mixed Numbers

#### Aligned To Common Core Standard:

**Grade 5 Fractions** - 5.NF.1

How to Add and Subtract Unlike Mixed Numbers - What is a mixed number? The mixed number or mixed fraction is composed of a whole and a fractional part. How to add two mixed numbers whose fractions have the same denominator? One method is to transform the mixed number into an improper fraction and then add as appropriate. Another method is as follows: - Add the numerators of the two fractions. - Place the result on the common denominator. - If the fraction is improper (the numerator is larger or equal to the denominator), then it must be converted to a mixed number. - Add the integers of the two mixed numbers. - If adding a fraction creates a mixed number, then add the whole part to the previous total. How to subtract mixed numbers that have the same denominator? - If the first numerator is smaller than the second, make it larger. - Subtract the second numerator from the first. - Place the difference over the common denominator. - Subtract the whole portions of the two mixed numbers. - Formulate the result Sum of mixed numbers with different denominator To solve this type of exercise we can use the procedure applied in point 1 or transform the mixed number into an improper fraction. Subtraction of mixed numbers with different denominator To solve the subtraction, we can use the method stated above or convert the mixed number into an improper fraction.

### Printable Worksheets And Lessons

- Sums and Differences
of Mixed Numbers Step-by-step Lesson- We get you in the habit
of finding common denominators and then proceeding to solve them.

- Guided Lesson
- We do a wide range of addition and subtraction problems. We begin
with fractions. Then, we move to mixed numbers and using visual
models.

- Guided Lesson Explanation
- It took me a long time to figure out how to reduce all the fractions.

- Practice Worksheet
- A large series of problems for you to work on. We end with visual
fractions.

- Matching Worksheet - Match the fraction and mixed number operations to their final outcome.

#### Homework Sheets

Remember to get those whole numbers out of the way by finding their sum first and foremost.

- Homework 1 - Remember to add whole numbers to whole numbers and fractions to fractions. The least common denominator of 5 and 10 is 10.
- Homework 2 - We have to simplify this equation to get the final fraction answer.
- Homework 3 - We have to find the L.C.M.

#### Practice Worksheets

Some of these are visual diagrams and others are number based fractions.

- Practice 1 - This answer is in simplest form.
- Practice 2 - Add the numbers and write its proper fraction.
- Practice 3 - Subtract the numbers and write its proper fraction.