Adding Mixed Numbers Unlike Denominators Regrouping

$$9\ \frac{5}{7}$$

$$5\ \frac{2}{3}$$

$$10\ \frac{1}{5}$$

$$11\ \frac{5}{6}$$

5    7/12

5    2/24

5    2/12

5    7/24

common numerator

common denominator

equivalent fraction

mixed number

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

$$\frac{2}{3}+\frac{4}{5}$$

$$\frac{2}{3}+\frac{1}{5}$$

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

denominators.

4   19/5

4 5/10

4 19/25

4 5/10

4 5/10

4 19/25

$$\frac{14}{16}$$

$$\frac{7}{8}$$

$$\frac{8}{7}$$

$$\frac{4}{10}$$

$$11\frac{2}{6}$$

$$11\frac{2}{5}$$

$$12\frac{1}{6}$$

$$11\ \frac{5}{6}$$

$$14\frac{17}{30}$$

$$13\frac{17}{30}$$

$$1\frac{17}{30}$$

$$13\frac{11}{13}$$

add the numerators

add the denominators

find a common denominator

find a common numerator