In our everyday life, we are bombarded with fractions. Whenever we open a pizza box and share among family and friends we each get a part of a whole amount. Let’s suppose there is a pizza split into four equal slices, if you and three friends each get one slice of pizza, then each person gets one-fourth of the pizza.

Test Objectives
• Demonstrate the ability to identify the numerator and denominator in a fraction
• Demonstrate the ability to write a fraction that describes the image given
• Demonstrate the ability to identify a proper fraction, improper fraction, or mixed number
Fraction Definition Practice Test:

#1:

Instructions: Identify the numerator and denominator in each.

a) $$\frac{3}{7}$$

b) $$\frac{4}{15}$$

c) $$\frac{12}{11}$$

d) $$\frac{9}{8}$$

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

f) $$\frac{24}{5}$$

g) $$\frac{4}{3}$$

h) $$\frac{3}{4}$$

#2:

Instructions: Write each division problem using a fraction, then perform the division.

a) 81 ÷ 9

b) 72 ÷ 8

c) 54 ÷ 6

d) 300 ÷ 10

e) 180 ÷ 60

#3:

Instructions: Write the fractions that describe the shaded part and the non-shaded part of each image.

a) b) #4:

Instructions: Write the fractions that describe the shaded part and the non-shaded part of each image.

a) b) #5:

Instructions: Identify each as a proper fraction, improper fraction, or mixed number.

a) $$\frac{17}{18}$$

b) $$\frac{12}{31}$$

c) $$\frac{55}{6}$$

d) $$\frac{4}{9}$$

e) $$\frac{8}{3}$$

f) $$1 \frac{1}{17}$$

g) $$6 \frac{5}{7}$$

h) $$\frac{18}{18}$$

Written Solutions:

#1:

Solutions:

a) 3 - numerator, 7 - denominator

b) 4 - numerator, 15 - denominator

c) 12 - numerator, 11 - denominator

d) 9 - numerator, 8 - denominator

e) 2 - numerator, 3 - denominator

f) 24 - numerator, 5 - denominator

g) 4 - numerator, 3 - denominator

h) 3 - numerator, 4 - denominator

#2:

Solutions:

a) $$81 \hspace{.1em}÷ \hspace{.1em}9=\frac{81}{9}=9$$

b) $$72 \hspace{.1em}÷ \hspace{.1em}8=\frac{72}{8}=9$$

c) $$54 \hspace{.1em}÷ \hspace{.1em}6=\frac{54}{6}=9$$

d) $$300 \hspace{.1em}÷ \hspace{.1em}10=\frac{300}{10}=30$$

e) $$180 \hspace{.1em}÷ \hspace{.1em}60=\frac{180}{60}=3$$

#3:

Solutions:

a) shaded: $$\frac{1}{4}$$

a) non-shaded: $$\frac{3}{4}$$

b) shaded: $$\frac{7}{8}$$

b) non-shaded: $$\frac{1}{8}$$

#4:

Solutions:

a) shaded: $$\frac{3}{3}$$

a) non-shaded: $$\frac{0}{3}$$

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

b) non-shaded: $$\frac{1}{2}$$

#5:

Solutions:

a) Proper Fraction

b) Proper Fraction

c) Improper Fraction

d) Proper Fraction

e) Improper Fraction

f) Mixed Number

g) Mixed Number

h) Improper Fraction