Question

Simplify : 8 / 15 - 12 / 45 + 15 / 30 - 9 / 15​

Answer 1

(8 / 15 - 12 / 45) + (15 / 30 - 9 / 15)

= (8*3 / 15*3 — 12*1 / 45*1) + (15*1 / 30*1 — 9*2 / 15* 3)

= (24/45 - 12/45) + (15/30 - 18/30)

= (24-12/45) + (15-18/30)

= 12/45 + (-3/30)

= 12/45 - 3/30

= (12*2/45*2) - (3*3/30*3)

= 24/90 - 9/90

= 24-9/90

= 15/90

= 1/6