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

Exercise #1

23a+14b+18c+14a=? \frac{2}{3}a+\frac{1}{4}b+\frac{1}{8}c+\frac{1}{4}a=\text{?}

Video Solution

Answer

1112a+14b+18c \frac{11}{12}a+\frac{1}{4}b+\frac{1}{8}c

Exercise #2

25x+43y+79x+34y=? \frac{2}{5}x+\frac{4}{3}y+\frac{7}{9}x+\frac{3}{4}y=\text{?}

Video Solution

Answer

1845x+2112y 1\frac{8}{45}x+2\frac{1}{12}y

Exercise #3

47x+57y+34x+89y=? \frac{4}{7}x+\frac{5}{7}y+\frac{3}{4}x+\frac{8}{9}y=\text{?}

Video Solution

Answer

1928x+13863y 1\frac{9}{28}x+1\frac{38}{63}y

Exercise #4

3z4+14m+1213z45m+17z=? \frac{3z}{4}+\frac{1}{4}m+\frac{12}{13}z\cdot\frac{4}{5}m+\frac{1}{7}z=\text{?}

Video Solution

Answer

2528z+14m+4865zm \frac{25}{28}z+\frac{1}{4}m+\frac{48}{65}zm

Exercise #5

3ba138a+58b+418m+910a+23m=? 3\frac{b}{a}\cdot1\frac{3}{8}a+\frac{5}{8}b+\frac{4}{18}m+\frac{9}{10}a+\frac{2}{3}m=\text{?}

Video Solution

Answer

434b+910a+89m 4\frac{3}{4}b+\frac{9}{10}a+\frac{8}{9}m

Exercise #6

(34+2a)(8a+9ba)(5+a)(32a+b)=? (\frac{3}{4}+2a)(8a+9ba)-(5+a)(\frac{3}{2}a+b)=\text{?}

Video Solution

Answer

32a+534ab+1412a2+(18a25)b -\frac{3}{2}a+5\frac{3}{4}ab+14\frac{1}{2}a^2+(18a^2-5)b