The arrangement of the given rational number is as per the rule of distributive law over addition.
= (-3/5) × {(3/7) + (-5/6)}
The LCM of the denominators 7 and 6 is 42
(3/7) = [(3×6)/ (7×6)] = (18/42)
and (-5/6) = [(-5×7)/ (6×7)] = (-35/42)
= -3/5 [(18 – 35)/42]
= -3/5 [-17/42]
= (-3/5) × (-17/42)
= 51/210 … [divide both denominator and numerator by 3]
= 17/30
