When we work with mixed numbers, we generally keep them as a mixed number when performing addition or subtraction. When multiplying or dividing, we generally convert the mixed number into an improper fraction. Keep in mind you can always convert the answer back if required by the assignment.

Test Objectives
• Demonstrate the ability to convert between a mixed number and improper fraction
• Demonstrate the ability to add/subtract mixed numbers
• Demonstrate the ability to multiply/divide mixed numbers

#1:

Instructions: Perform each indicated operation.

a) $$6 \frac{1}{5}+ 3 \frac{2}{5}$$

b) $$3 \frac{1}{3}+ 2 \frac{2}{7}+ \frac{1}{4}$$

#2:

Instructions: Perform each indicated operation.

a) $$5 \frac{3}{7}+ 7 \frac{9}{11}$$

b) $$8 \frac{5}{7}- 3 \frac{2}{3}$$

#3:

Instructions: Perform each indicated operation.

a) $$13 \frac{4}{9}- 9 \frac{6}{7}$$

b) $$15 \frac{2}{13}- 6 \frac{4}{5}$$

#4:

Instructions: Perform each indicated operation.

a) $$4 \frac{2}{3}\cdot 6 \frac{3}{5}$$

b) $$2 \frac{4}{5}\cdot 1 \frac{5}{6}$$

c) $$-3 \cdot 4 \frac{1}{15}$$

#5:

Instructions: Perform each indicated operation.

a) $$12 \frac{1}{2}\div 5 \frac{2}{3}$$

b) $$7 \frac{1}{2}\cdot 8 \frac{4}{5}$$

c) $$-3 \div 2 \frac{1}{5}$$

d) $$-6 \cdot 11 \frac{1}{3}$$

Written Solutions:

#1:

Solutions:

a) $$9 \frac{3}{5}$$

b) $$6 \frac{73}{84}$$

#2:

Solutions:

a) $$13 \frac{19}{77}$$

b) $$5 \frac{1}{21}$$

#3:

Solutions:

a) $$3 \frac{37}{63}$$

b) $$8 \frac{23}{65}$$

#4:

Solutions:

a) $$30 \frac{4}{5}$$

b) $$5 \frac{2}{15}$$

c) $$-12 \frac{1}{5}$$

#5:

Solutions:

a) $$2 \frac{7}{34}$$

b) $$66$$

c) $$-1 \frac{4}{11}$$

d) $$-68$$