Examples with solutions for Variables and Algebraic Expressions: Common denominators with variables

Exercise #1

34+18m+28n+178m=? \frac{3}{4}+\frac{1}{8}m+\frac{2}{8}n+\frac{17}{8}m=\text{?}

Video Solution

Answer

34+214m+14n \frac{3}{4}+2\frac{1}{4}m+\frac{1}{4}n

Exercise #2

x8+318+x4+14x+y8=? \frac{x}{8}+\frac{31}{8}+\frac{x}{4}+\frac{1}{4}x+\frac{y}{8}=\text{?}

Video Solution

Answer

378+58x+y8 3\frac{7}{8}+\frac{5}{8}x+\frac{y}{8}

Exercise #3

14a+13x+24a+18+38=? \frac{1}{4}a+\frac{1}{3}x+\frac{2}{4}a+\frac{1}{8}+\frac{3}{8}=\text{?}

Video Solution

Answer

34a+13x+12 \frac{3}{4}a+\frac{1}{3}x+\frac{1}{2}

Exercise #4

38a+149b+119b+68a=? \frac{3}{8}a+\frac{14}{9}b+1\frac{1}{9}b+\frac{6}{8}a=\text{?}

Video Solution

Answer

118a+223b 1\frac{1}{8}a+2\frac{2}{3}b

Exercise #5

14a+12a+x3+43b+23x=? \frac{1}{4a}+\frac{1}{2a}+\frac{x}{3}+\frac{4}{3}b+\frac{2}{3}x=\text{?}

Video Solution

Answer

34a+x+43b \frac{3}{4a}+x+\frac{4}{3}b