Question

simplify using an appropriate property 5/9×-3/10+(-3)/10×2/3
step by step ​

Answer 1

Answer:

5/9×(-3)/10+(-3)/10×2/3

(-15)/90+(-6)/30

{(-15)+(-18)}/90

(-15-18)/90

-33/90

-11/30 is the correct answer.

Answer 2

Answer:

(i) -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