When we encounter improper fractions, we can write them as mixed numbers. The reverse is also true. In some cases, it will be easier to work with an improper fraction. Generally, we will see this is true when multiplying or dividing. In other cases, such as addition or subtraction, a mixed number is preferred.

Test Objectives
• Understand the difference between a proper fraction, improper fraction, and a mixed number
• Demonstrate the ability to convert a mixed number into an improper fraction
• Demonstrate the ability to convert an improper fraction into a mixed number
Mixed Number Practice Test:

#1:

Instructions: Convert each improper fraction into a mixed number.

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

b) $$\frac{3}{2}$$

c) $$\frac{11}{9}$$

#2:

Instructions: Convert each improper fraction into a mixed number.

a) $$\frac{22}{5}$$

b) $$\frac{17}{3}$$

c) $$\frac{23}{9}$$

#3:

Instructions: Convert each improper fraction into a mixed number.

a) $$\frac{51}{2}$$

b) $$\frac{78}{19}$$

c) $$\frac{115}{11}$$

#4:

Instructions: Convert each mixed number into an improper fraction.

a) $$18 \frac{1}{3}$$

b) $$12 \frac{1}{2}$$

c) $$14 \frac{3}{5}$$

#5:

Instructions: Convert each mixed number into an improper fraction.

a) $$7 \frac{11}{13}$$

b) $$21 \frac{8}{9}$$

c) $$7 \frac{7}{9}$$

Written Solutions:

#1:

Solutions:

a) $$1 \frac{4}{5}$$

b) $$1 \frac{1}{2}$$

c) $$1 \frac{2}{9}$$

#2:

Solutions:

a) $$4 \frac{2}{5}$$

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

c) $$2 \frac{5}{9}$$

#3:

Solutions:

a) $$25 \frac{1}{2}$$

b) $$4 \frac{2}{19}$$

c) $$10 \frac{5}{11}$$

#4:

Solutions:

a) $$\frac{55}{3}$$

b) $$\frac{25}{2}$$

c) $$\frac{73}{5}$$

#5:

Solutions:

a) $$\frac{102}{13}$$

b) $$\frac{197}{9}$$

c) $$\frac{70}{9}$$