Question

Simplify using suitable properties of rational numbers: (-3)/5 + (4/7 X 3/5)-4/9 ( 2/3 X 1/5 ) - 15/16 + ( 1/5 X 4/3 ).​

Answer 1

Answer:

2

Step-by-step explanation:

2/3 * 3/5 + 5/2 – 3/5 * 1/6

= -2/3 * 3/5 – 3/5 * 1/6 + 5/2 [Using associative property]

= 3/5 * (-2/3 – 1/6) + 5/2 [Using distributive property]

= 3/5 * {(-4 - 1)/6} + 5/2 [LCM (3, 2) = 6]

= 3/5 * (-5/6) + 5/2

= -3/6 + 5/2

= -1/2 + 5/2

= (-1 + 5)/2

= 4/2

= 2