Adding and Subtracting Signed Fractions

Adding & Subtracting Signed Fractions

We will be combing rules for adding and subtracting fractions with the rules for integers. Please watch the videos before attempting problems. ​

Multiple Choice

In the problem on the front of the video screen (-6/10 + (-2/8)), would you add the fractions or subtract them? Would the answer be positive or negative?

• Add

  and

  Negative

• Add

  and

  Positive

• Subtract

  and

  Negative

• Subtract

  and

  Positive

Multiple Choice

Simplify the given addition problem.

Make sure you reduce your answer.

• $$\frac{7}{6}$$  

• - $$\frac{1}{3}$$  

• $$\frac{1}{3}$$  

• - $$\frac{7}{6}$$  

Multiple Choice

$$Evaluate\ -\frac{3}{8}\ +\ \left(-\frac{2}{12}\right).\$$ Make sure to simplify your answer.

• - $$\frac{1}{4}$$  

• - $$\frac{13}{24}$$  

• $$\frac{13}{24}$$  

• $$\frac{1}{4}$$  

Multiple Choice

Find $$\frac{1}{6}+\frac{-5}{9}.$$    Simplify and reduce your answer.

• - $$\frac{4}{15}$$  

• $$\frac{2}{5}$$  

• - $$\frac{7}{18}$$  

• $$\frac{7}{18}$$  

Multiple Choice

Simplify. Be sure to simplify your answer. $$-\frac{2}{7\ }-\frac{2}{3}.$$  

• - $$\frac{4}{10}$$  

• - $$\frac{2}{5}$$  

• - $$\frac{20}{21}$$  

• $$\frac{20}{21}$$  

Multiple Choice

Solve $$-\frac{2}{3\ }-\frac{2}{5}.$$  Remember subtraction rules for signed numbers (Same signs add the values and the answer is the sign of the numbers). Be sure to reduce your answer.

• - $$\frac{1}{2}$$  

• - 1 $$\frac{1}{15}$$  

• 1 $$\frac{1}{15}$$  

• $$\frac{1}{2}$$  

Multiple Choice

Simplify. Be sure to put your answer in simplest form. $$\frac{8}{15}+\left(-\frac{2}{5}\right)$$  

• $$\frac{14}{15}$$  

• - $$\frac{2}{15}$$  

• $$\frac{2}{15}$$  

• - $$\frac{14}{15}$$  

Multiple Choice

Simplify. Be sure to simplify your answer. $$\frac{4}{9}-\ \left(\frac{2}{3}\right)$$  

• 1 $$\frac{1}{9}$$  

• -1 $$\frac{1}{9}$$  

• $$\frac{2}{9}$$  

• - $$\frac{2}{9}$$  

Multiple Choice

Simplify. Be sure to simplify your answer. - $$8\ \frac{1}{2}$$   - $$1\ \frac{1}{2}$$  

• -10

• 5

• 10

• -5

Multiple Choice

Simplify. Be sure to reduce your answer. $$8\ \frac{4}{9}$$   - $$5\ \frac{2}{9}$$  

• $$\frac{3}{10}$$  

• $$2\ \frac{2}{9}$$  

• $$3\ \frac{2}{9}$$  

• $$\frac{1}{9}$$  

Multiple Choice

Simplify. Be sure to reduce your answer. $$-4\ \frac{1}{4\ }\ +\ 3\ \frac{3}{8}$$  

• $$\frac{3}{8}$$  

• $$7\ \frac{5}{8}$$  

• $$-\ \frac{7}{8}$$  

• $$-\ 7\ \frac{5}{8}$$  

Multiple Choice

Simplify. Be sure to reduce your answer. $$-\ 4\frac{3}{8}-\ 7\ \frac{3}{8}$$  

• $$3$$  

• $$11\frac{3}{4}$$  

• $$-3$$  

• $$-\ 11\frac{3}{4}$$  

Multiple Choice

Simplify. Be sure to reduce your answer. $$5\ \frac{1}{3}-\left(-3\ \frac{1}{3}\right)$$  

• $$8\frac{2}{3}$$  

• $$\frac{2}{3}$$  

• $$2\frac{1}{3}$$  

• $$2$$  

Multiple Choice

Simplify. Be sure to reduce your answer. $$3\ -1\frac{2}{5}$$  

• $$\frac{8}{5}$$  

• $$1\frac{3}{5}$$  

• $$2\frac{4}{5}$$  

• $$2\frac{2}{5}$$