Verify: - 3/5 × [3/7 + ( - 5/6)] = ( - 3/5 × 3/7) + ( - 3/5 × - 5/6)
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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
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