Adding Fractions and Mixed Numbers with Like 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