Question

\cdot \frac{2}{3}a-\:\frac{4}{5}b+\:\frac{3}{5}c-\frac{3}{4}\:-\frac{5}{2}+\:\frac{2}{3}c\:+\:\frac{5}{2}a\:+\:\frac{7}{4}b-\frac{5}{6}

Answer 1

Answer:

Required sum,

=[(2/3)a−(4/5b)+(3/5)c]+[−(3/4)a−(5/2)b+(2/3)c]+[(5/2)a+(7/4)b−(5/6)c]

Collecting like terms,

=(2/3)a−(3/4)a+(5/2)a−(4/5)b−(5/2)b+(7/4)b+(3/5)c+(2/3)c−(5/6)c

=[(2/3)−(3/4)+(5/2)]a+[(−4/5)−(5/2)+(7/4)]b+[(3/5)+(2/3)−(5/6)]c

=[(8−9+30)/12)a]+[(16−15+30)/20)b]+[(18+20−25)/30)c]

=(29/12)a+(31/20)b+(13/30)c