Add the expression:(2/3)a – (4/5)v + (3/5)c, -(3/4)a – (5/2)b + (2

1.	Add the expression:(2/3)a – (4/5)v + (3/5)c, -(3/4)a – (5/2)b + (2/3)c, (5/2)a + (7/4)b – (5/6)c
Answer» (2/3)a – (4/5)v + (3/5)c, -(3/4)a – (5/2)b + (2/3)c, (5/2)a + (7/4)b – (5/6)c Required sum, = [(2/3)a – (4/5)b + (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

Add the expression:(2/3)a – (4/5)v + (3/5)c, -(3/4)a – (5/2)b + (2/3)c, (5/2)a + (7/4)b – (5/6)c

Answer»

(2/3)a – (4/5)v + (3/5)c, -(3/4)a – (5/2)b + (2/3)c, (5/2)a + (7/4)b – (5/6)c

Required sum,

= [(2/3)a – (4/5)b + (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