Adding and Subtracting with Mixed Numbers

Add and Subtract Mixed Numbers

by Omar Shishani

Poll

Would you rather be:

Multiple Choice

$$\frac{2}{7}+\frac{3}{7}$$  

• $$\frac{5}{7}$$  

• $$\frac{5}{14}$$  

• $$\frac{6}{7}$$  

• $$\frac{6}{14}$$  

Multiple Choice

$$\frac{-20}{21}+\left(\frac{-8}{21}\right)$$  

• $$\frac{-28}{21}$$  

• $$\frac{-28}{42}$$  

• $$\frac{-12}{21}$$  

• $$\frac{-12}{21}$$  

Multiple Choice

$$\frac{-1}{5}+\left(\frac{-4}{25}\right)$$  

• $$\frac{-9}{25}$$  

• $$\frac{-9}{30}$$  

• $$\frac{-9}{20}$$  

• $$\frac{-6}{18}$$  

Multiple Choice

$$\frac{25}{21}-\frac{2}{3}$$  

• $$\frac{11}{21}$$  

• $$\frac{-11}{21}$$  

• $$\frac{39}{21}$$  

• $$\frac{21}{15}$$  

Multiple Choice

To convert from a mixed number to an improper fraction:

• Step 1: Multiply Denominator.

  Step 2: Add result with Numerator.

• Step 1: Multiply Numerator.

  2) Add result with Denominator.

Multiple Choice

Convert into an improper fraction.

• $$\frac{37}{2}$$

• $$\frac{52}{7}$$
  

• $$\frac{7}{37}$$
  

• $$\frac{37}{7}$$

Multiple Choice

Convert into an improper fraction.

• $$\frac{15}{2}$$

• $$\frac{10}{5}$$
  

• $$\frac{17}{5}$$
  

• $$\frac{11}{2}$$

Multiple Choice

Convert into an improper fraction.

• $$\frac{28}{7}$$

• $$\frac{29}{4}$$
  

• $$\frac{29}{7}$$
  

• $$\frac{5}{7}$$

Multiple Choice

To convert from an improper fraction to a mixed number:

• Step 1: Divide Numerator by Denominator.

  Step 2: Remainder is Numerator.

• Step 1: Divide Denominator by Numerator.

  Step 2: Remainder is Denominator.

Multiple Choice

Write the improper fraction as a mixed number in simplest form.

$$\frac{25}{3}=$$  

• $$8\ \frac{1}{3}$$

• $$8\ \frac{3}{25}$$
  

• $$7\ \frac{5}{7}$$
  

• $$2\ \frac{5}{8}$$

Multiple Choice

Write the improper fraction as a mixed number.

$$\frac{14}{6}=$$  

• $$1\ \frac{6}{8}$$  

• $$2\ \frac{2}{3}$$  

• $$2\ \frac{2}{6}$$  
  

• $$1\ \frac{4}{6}$$  

Multiple Choice

Write the improper fraction as a mixed number.

$$\frac{19}{6}=$$  

• $$3\ \frac{1}{6}$$  

• $$3\ \frac{2}{6}$$  

• $$2\ \frac{1}{6}$$  

• $$2\ \frac{7}{6}$$  

Did I do something wrong?

Multiple Choice

• $$16\ \frac{5}{7}$$

• $$16\ \frac{6}{7}$$

• $$17\ \frac{1}{7}$$

• 17

Multiple Choice

• $$10\ \frac{4}{3}$$

• $$10\ \frac{2}{3}$$

• 11

• 12

Multiple Choice

SIMPLIFY.

• $$7\ \frac{13}{14}$$  

• $$7\ \frac{2}{11}$$  

• $$8\ \frac{2}{11}$$  

• $$8\ \frac{1}{5}$$  

Multiple Choice

• $$\frac{1}{6}$$

• $$1\ \frac{1}{6}$$

• 1

• $$\frac{1}{3}$$

Multiple Choice

• $$\frac{2}{5}$$

• $$\frac{1}{5}$$

• $$\frac{3}{5}$$

• 1

Multiple Choice

• $$4\ \frac{1}{3}$$

• $$4\ \frac{2}{3}$$

• $$3\ \frac{2}{3}$$

• $$3\ \frac{1}{3}$$

Multiple Choice

Which mixed number is represented by the model?

• $$2\ \frac{3}{8}$$

• $$1\ \frac{3}{8}$$

• $$2\ \frac{5}{8}$$

• $$2\ \frac{5}{7}$$

Multiple Choice

Which fraction is represented by the model?

• $$\frac{19}{24}$$  

• $$\frac{25}{16}$$  

• $$\frac{19}{8}$$  

• $$\frac{3}{8}$$  

Multiple Choice

• $$9\ \frac{6}{7}$$

• $$9\ \frac{6}{14}$$

• 5

• $$8\ \frac{6}{7}$$