Question

use the distributive property of multiplication of rational numbers over addition to simplify 5/4×[8/5+16/15]​

Answer 1

We know that the distributivity of multiplication of rational numbers over addition, a × (b + c) = a × b + a × c Where, a =-5/4, b =8/5, c = 16/15 Then, (-5/4) × [(8/5) + (16/15)] = ((-5/4) × (8/5)) + ((-5/4) × (16/15)) = ((-1/1) × (2/1)) + ((-1/1) × (4/3)) = (-2/1) + (-4/3) = (-6 – 4)/3 = -10/3 = -3 1/3