Adding Mixed Numbers of Different Denominators

Adding Fractions and Mixed Numbers

with like denominators

Adding Fractions with like Denominators

• Add the numerators

• keep the denominators the same

Visual

When the denominators are the same, you can add the numerators because you are adding pieces of the same size.

Examples

Multiple Choice

$$\frac{4}{7}\ +\ \frac{2}{7}\$$  

• $$\frac{6}{14}$$  

• $$\frac{6}{7}$$  

• $$\frac{2}{7}$$  

• $$\frac{4}{7}$$  

Multiple Choice

$$\frac{4}{15}\ +\ \frac{2}{15}$$  

• $$\frac{6}{30}$$  

• $$\frac{4}{30}$$  

• $$\frac{6}{15}$$  

• $$\frac{8}{15}$$  

Adding Mixed Numbers with Like Denominators

1. Add the whole numbers
2. Add the numerators
3. Keep the denominators the same
4. Simplify if necessary

Multiple Choice

$$3\ \frac{1}{4\ }\ +\ 2\ \frac{1}{4}$$  Solve.

• $$5\ \frac{2}{8}$$  

• $$5\ \frac{1}{2}$$  

• $$3\ \frac{1}{4}$$  

• $$5\ \frac{2}{8}$$  

Multiple Choice

$$12\ \frac{1}{3}+\ 4\ \frac{1}{3}$$  Simplify

• $$16\ \frac{2}{3}$$  

• $$16\ \frac{2}{6}$$  

• $$16\ \frac{1}{3}$$  

• $$16\ \frac{2}{9}$$  

Answer: Mixed # with Imp Frac

1. Change the imp. frac to a mixed #
2. Add whole #s

 $3\ \frac{5}{4}\ =\ 3\ +\ 1\ \frac{1}{4}\ =\ 4\ \frac{1}{4}$  

Multiple Choice

Simplify.

• $$3\ \frac{6}{10}$$

• $$3\ \frac{3}{5}$$

• $$4\ \frac{1}{5}$$

• $$3\ \frac{1}{5}$$

Multiple Choice

$$5\ \frac{2}{3}\ +\ 3\ \frac{2}{3}$$  Find the sum.

• $$9\ \frac{2}{3}$$  

• $$8\ \frac{4}{6}$$  

• $$8\ \frac{1}{3}$$  

• $$9\ \frac{1}{3}$$  

Poll

How comfortable do you feel adding fractions and mixed numbers with the same denominators?

• I feel great!

• I feel pretty good

• I'm a little confused

• I need help