About Dividing Fractions:
When we divide fractions, we leave the first fraction unchanged (fraction on the left). We then take the reciprocal of the second fraction (fraction on the right). Once this is done, we multiply. Take the result and simplify by canceling the Greatest Common Factor from the numerator and denominator.
Test Objectives
- Demonstrate the ability to take the reciprocal of a number
- Demonstrate the ability to find the product of two fractions
- Demonstrate the ability to reduce a fraction to its lowest terms
#1:
Instructions: Find each reciprocal.
a) $$\frac{7}{4}$$
b) $$\frac{2}{3}$$
c) $$-5$$
d) $$8$$
e) $$\frac{9}{14}$$
f) $$\frac{11}{13}$$
Watch the Step by Step Video Solution View the Written Solution
#2:
Instructions: Find each quotient.
a) $$\frac{1}{2}\hspace{.15em}÷ \hspace{.15em}\frac{1}{4}$$
b) $$\frac{2}{7}\hspace{.15em}÷ \hspace{.15em}3$$
c) $$-\frac{4}{5}\hspace{.15em}÷ \hspace{.15em}\frac{8}{9}$$
Watch the Step by Step Video Solution View the Written Solution
#3:
Instructions: Find each quotient.
a) $$\frac{9}{28}\hspace{.15em}÷ \hspace{.15em}\frac{12}{35}$$
b) $$\frac{8}{3}\hspace{.15em}÷ \hspace{.15em}-\frac{1}{9}$$
c) $$\frac{4}{7}\hspace{.15em}÷ \hspace{.15em}\frac{3}{14}$$
Watch the Step by Step Video Solution View the Written Solution
#4:
Instructions: Find each quotient.
a) $$7 \hspace{.15em}÷ \hspace{.15em}-\frac{1}{5}$$
b) $$\frac{2}{3}\hspace{.15em}÷ \hspace{.15em}10$$
c) $$\frac{5}{4}\hspace{.15em}÷ \hspace{.15em}20$$
Watch the Step by Step Video Solution View the Written Solution
#5:
Instructions: Find each quotient.
a) $$-\frac{1}{3}\hspace{.15em}÷ \hspace{.15em}\frac{1}{2}\hspace{.15em}÷ \hspace{.15em}\frac{2}{7}$$
b) $$\frac{5}{9}\hspace{.15em}÷ \hspace{.15em}\frac{20}{21}\hspace{.15em}÷ \hspace{.15em}\frac{3}{4}$$
Watch the Step by Step Video Solution View the Written Solution
Written Solutions:
#1:
Solutions:
a) $$\frac{4}{7}$$
b) $$\frac{3}{2}$$
c) $$-\frac{1}{5}$$
d) $$\frac{1}{8}$$
e) $$\frac{14}{9}$$
f) $$\frac{13}{11}$$
Watch the Step by Step Video Solution
#2:
Solutions:
a) $$2$$
b) $$\frac{2}{21}$$
c) $$-\frac{9}{10}$$
Watch the Step by Step Video Solution
#3:
Solutions:
a) $$\frac{15}{16}$$
b) $$-24$$
c) $$\frac{8}{3}$$
Watch the Step by Step Video Solution
#4:
Solutions:
a) $$-35$$
b) $$\frac{1}{5}$$
c) $$\frac{1}{16}$$
Watch the Step by Step Video Solution
#5:
Solutions:
a) $$-\frac{7}{3}$$
b) $$\frac{7}{9}$$
