4.4 Add and Subtract Fractions with Common Denominators

Before you get started, take this readiness quiz.

Simplify: $2 x + 9 + 3 x - 4 .$
If you missed this problem, review the reference.

Simplify: $\frac{3 + 2}{6} .$
If you missed this problem, review the reference.

Find the sum: $\frac{3}{5} + \frac{1}{5} .$

Find each sum: $\frac{3}{6} + \frac{2}{6} .$

Find each sum: $\frac{3}{10} + \frac{7}{10} .$

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

Find the sum: $\frac{x}{4} + \frac{3}{4} .$

Find the sum: $\frac{y}{8} + \frac{5}{8} .$

Find the sum: $- \frac{9}{d} + \frac{3}{d} .$

Find the sum: $- \frac{7}{d} + \frac{8}{d} .$

Find the sum: $- \frac{6}{m} + \frac{9}{m} .$

Find the sum: $\frac{2 n}{11} + \frac{5 n}{11} .$

Find the sum: $\frac{3 p}{8} + \frac{6 p}{8} .$

Find the sum: $\frac{2 q}{5} + \frac{7 q}{5} .$

Find the sum: $- \frac{3}{12} + \left(- \frac{5}{12}\right) .$

Find each sum: $- \frac{4}{15} + \left(- \frac{6}{15}\right) .$

Find each sum: $- \frac{5}{21} + \left(- \frac{9}{21}\right) .$

Use a model to find each difference. Show a diagram to illustrate your model.

$\frac{7}{8} - \frac{4}{8}$

Use a model to find each difference. Show a diagram to illustrate your model.

$\frac{5}{6} - \frac{4}{6}$

Find the difference: $\frac{23}{24} - \frac{14}{24} .$

Find the difference: $\frac{19}{28} - \frac{7}{28} .$

Find the difference: $\frac{27}{32} - \frac{11}{32} .$

Find the difference: $\frac{y}{6} - \frac{1}{6} .$

Find the difference: $\frac{x}{7} - \frac{2}{7} .$

Find the difference: $\frac{y}{14} - \frac{13}{14} .$

Find the difference: $- \frac{10}{x} - \frac{4}{x} .$

Find the difference: $- \frac{9}{x} - \frac{7}{x} .$

Find the difference: $- \frac{17}{a} - \frac{5}{a} .$

Simplify: $\frac{3}{8} + \left(- \frac{5}{8}\right) - \frac{1}{8} .$

Simplify: $\frac{2}{5} + \left(- \frac{4}{5}\right) - \frac{3}{5} .$

Simplify: $\frac{5}{9} + \left(- \frac{4}{9}\right) - \frac{7}{9} .$

Find each sum.

$\frac{2}{9} + \frac{5}{9}$

Find each sum.

$\frac{9}{15} + \frac{7}{15}$

Find each sum.

$\frac{y}{3} + \frac{2}{3}$

Find each sum.

$\frac{8}{q} + \frac{6}{q}$

Find each sum.

$\frac{5 a}{7} + \frac{4 a}{7}$

Find each sum.

$\frac{−11 x}{5} + \frac{7 x}{5}$

Find each sum.

$- \frac{1}{8} + \left(- \frac{5}{8}\right)$

Find each sum.

$- \frac{5}{16} + \left(- \frac{9}{16}\right)$

Find each sum.

$- \frac{9}{19} + \frac{17}{19}$

Find each sum.

$\frac{5}{12} + \left(- \frac{7}{12}\right) + \left(- \frac{11}{12}\right)$

Find the difference.

$\frac{4}{5} - \frac{3}{5}$

Find the difference.

$\frac{9}{13} - \frac{4}{13}$

Find the difference.

$\frac{7}{12} - \frac{5}{12}$

Find the difference.

$- \frac{8}{9} - \frac{16}{9}$

Find the difference.

$\frac{x}{19} - \frac{8}{19}$

Find the difference.

$\frac{11 z}{13} - \frac{8}{13}$

Find the difference.

$- \frac{7}{c} - \frac{7}{c}$

Find the difference.

$- \frac{29}{v} - \frac{26}{v}$

Find the difference.

$\frac{12 d}{11} - \frac{9 d}{11}$

Find the difference.

$\frac{−7 s}{3} - \frac{7 s}{3}$

Find the difference.

$- \frac{3}{7} - \left(- \frac{5}{7}\right)$

Find the difference.

$- \frac{8}{11} - \left(- \frac{5}{11}\right)$

Perform the indicated operation and write your answers in simplified form.

$- \frac{3}{14} \cdot \frac{7}{12}$

Perform the indicated operation and write your answers in simplified form.

$\frac{6}{11} - \frac{s}{11}$

Perform the indicated operation and write your answers in simplified form.

$- \frac{5}{18} + \frac{1}{18}$

Perform the indicated operation and write your answers in simplified form.

$\frac{7}{12} \div \frac{9}{28}$

Baking Janet needs $\frac{5}{8}$ of a cup of flour for a recipe she is making. She only has $\frac{3}{8}$ of a cup of flour and will ask to borrow the rest from her next-door neighbor. How much flour does she have to borrow?

After a party, Lupe has $\frac{5}{12}$ of a cheese pizza, $\frac{4}{12}$ of a pepperoni pizza, and $\frac{4}{12}$ of a veggie pizza left. Will all the slices fit into $1$ pizza box? Explain your reasoning.