Adding Mixed Numbers with Regrouping

Adding and Subtracting Mixed Numbers

Multiple Choice

What is a mixed number?

• when the numerator is bigger than the denominator.

• when you have a whole number and a fraction together.

• how many parts there are in a whole.

Adding or Subtracting mixed numbers with like denominators

- To either add or subtract mixed numbers with the same denominator, follow these steps:

Step 1!

• Add or subtract whole numbers to whole numbers

• Which numbers are the whole numbers?

Multiple Choice

1 + 2 = ?

• 3

• 2

• 4

• 5

Step 2!

• Add fractions to fractions

• Which are the fractions?

Multiple Choice

3/8 + 1/8 = ?

• 5/8

• 2/8

• 4/8

• 3/8

Step 3!

• Regroup and simplify, if needed

• If we had the whole number 3 and the fraction 4/8, we would then put them together to make, 3 and 4/8

• Can 4/8 be simplified?

Multiple Choice

Simplify the fraction 4/8

• 2/4

• 4/8

• 5/8

• 1/2

Poll

Which is the first step in adding mixed numbers?

• Add the fractions

• Regroup and simplify, if needed

• Add the whole numbers

Poll

Which is the 2nd step in adding mixed numbers?

• Add the fractions.

• Regroup and simplify, if needed.

• Add the whole numbers.

Poll

Which is the 3rd step in adding whole numbers?

• Regroup and simplify, if needed.

• Add the fractions.

• Add the whole numbers.

Multiple Choice

$$14\ \frac{5}{6}-8\ \frac{1}{6}$$

• 6 5/6

• 6 3/6

• 6 2/3

• 6 4/6

Multiple Choice

$$7\ \frac{2}{9}+1\ \frac{2}{9}$$

• 8 5/9

• 8 2/9

• 8 4/9

• 8/3/9

Multiple Choice

$$1\ \frac{5}{8}+1\ \frac{1}{8}$$

• 2 4/8

• 2 7/8

• 2 3/4

• 2 6/8

Multiple Choice

$$2\frac{9}{10}\ +6\ \frac{1}{3}=$$  

• $$9\ \frac{7}{30}$$  

• $$5\ \frac{4}{9}$$  

• $$6\ \frac{1}{4}$$

• $$4\ \frac{1}{2}$$  

Multiple Choice

$$6\ \frac{2}{4\ }-2\ \frac{2}{5}=$$  
Reduce if needed.

• $$5\ \frac{2}{7}$$  

• $$4\ \frac{2}{20}$$  

• $$6\ \frac{1}{2}$$  

• $$4\ \frac{1}{10}$$  

Multiple Choice

$$12\ \frac{1}{4}\ -\ 5\ \frac{2}{3}\ =$$  

Answer in simplest form. 

• $$7\ \frac{7}{12}$$  

• $$6\ \frac{7}{12}$$  

• $$7\ \frac{1}{2}$$  

• $$7\ \frac{3}{7}$$  

Multiple Choice

$$3\ \frac{5}{8}\ +6\ \frac{1}{2}\ =$$  

Answer in simplest form.

• $$9\ \frac{1}{8}$$  

• $$9\ \frac{6}{8}$$  

• $$9\ \frac{9}{8}$$  

• $$10\ \frac{1}{8}$$