About Adding Fractions:
When we add or subtract fractions, we come across two different scenarios. The first is when the denominators are the same. The second occurs when the denominators are different. When the denominators are different we must obtain a common denominator before we can add or subtract.
Test Objectives
- Demonstrate the ability to add/subtract fractions with a common denominator
- Demonstrate the ability to find the LCD (Least Common Denominator)
- Demonstrate the ability to add/subtract fractions without a common denominator
#1:
Instructions: Find the LCD of the fractions.
a) $$\frac{1}{8}, \frac{1}{12}$$
b) $$\frac{2}{3}, \frac{5}{18}$$
c) $$\frac{2}{14}, \frac{3}{50}, \frac{5}{64}$$
Watch the Step by Step Video Solution View the Written Solution
#2:
Instructions: Perform each indicated operation.
a) $$\frac{4}{25}+ \frac{6}{25}$$
b) $$\frac{8}{11}+ \left(-\frac{4}{11}\right)$$
c) $$\frac{6}{7}- \frac{5}{7}$$
d) $$\frac{7}{12}- \frac{4}{12}$$
Watch the Step by Step Video Solution View the Written Solution
#3:
Instructions: Perform each indicated operation.
a) $$\frac{3}{7}+ \frac{1}{7}+ \frac{2}{7}$$
b) $$\frac{9}{2}- \frac{3}{2}- \frac{11}{2}$$
c) $$\frac{4}{5}+ \frac{3}{5}- \frac{8}{5}- \frac{7}{5}$$
Watch the Step by Step Video Solution View the Written Solution
#4:
Instructions: Perform each indicated operation.
a) $$\frac{2}{18}+ \frac{5}{20}$$
b) $$\frac{3}{38}- \frac{2}{133}$$
Watch the Step by Step Video Solution View the Written Solution
#5:
Instructions: Perform each indicated operation.
a) $$\frac{5}{12}+ \frac{4}{21}+ \left(-\frac{6}{24}\right)$$
Watch the Step by Step Video Solution View the Written Solution
Written Solutions:
#1:
Solutions:
a) $$24$$
b) $$18$$
c) $$11{,}200$$
Watch the Step by Step Video Solution
#2:
Solutions:
a) $$\frac{2}{5}$$
b) $$\frac{4}{11}$$
c) $$\frac{1}{7}$$
d) $$\frac{1}{4}$$
Watch the Step by Step Video Solution
#3:
Solutions:
a) $$\frac{6}{7}$$
b) $$-\frac{5}{2}$$
c) $$-\frac{8}{5}$$
Watch the Step by Step Video Solution
#4:
Solutions:
a) $$\frac{13}{36}$$
b) $$\frac{17}{266}$$
Watch the Step by Step Video Solution
#5:
Solutions:
a) $$\frac{5}{14}$$
