Question
Class 7MathematicsRational Numbers

Subtract the sum of (-5)/6 and -8/5 from the sum 8/3 and -6 2/5.

Verified Answer

Sum of (-5/6) and (-8/5):

= (-5/6) - (8/5)

= (-5 × 5)/(6 × 5) - (8 × 6)/(5 × 6) [LCM of 6 and 5 = 30]

= (-25/30) - (48/30) = (-25 - 48)/30 = -73/30

Sum of (8/3) and (-32/5):

= (8/3) - (32/5)

= (8 × 5)/(3 × 5) - (32 × 3)/(5 × 3) [LCM of 3 and 5 = 15]

= (40/15) - (96/15) = (40 - 96)/15 = -56/15

∴ Required difference = (-56/15) - (-73/30)

= (-56/15) + (73/30) = (73/30) - (56/15)

= (73 × 1)/(30 × 1) - (56 × 2)/(15 × 2)

= (73/30) - (112/30) = (73 - 112)/30 = -39/30 = -23/10