Question

1/2+(-5/3)=

(-1/4)+(-3/2)=

(-1/3)+(-3/5)=

2+(-1/4)=

Answer 1

Explanation:

a). 1/2+(-5/3)

1/2+-5/3

= 1/2 - 5/3

LCM for 2 and 3 is 6

`= 6 * (1)/(2) - 6 * (5)/(3) \\ = 3(1) - 2(5) \\ = 3 - 10 \\ = - 7`

b). (-1/4)+(-3/2)

`= ( - 1)/(3) + ( - 3)/(2) \\ = ( - 1)/(4) - (3)/(2) \\ = the \: lcm \: of \: 4 \: and \: 2 \: is \: 8 \\ 8 * ( - 1)/(4) - 8 * (3)/(2) \\ = 2( - 1) - 4(3) \\ = - 2 - 12 \\ = - 14.`

C.(-1/3)+(-3/5)

`= ( - 1)/(3) - ( 3)/(5) \\ = the \: lcm \: of \: 3and5is \: 15 \\ = 15* ( - 1)/(3) - 15* (3)/(5) \\ = 5( - 1) - 3(3) \\ = - 5 - 9 \\ = - 14.`

2 + (-1/4)

`= 2 + ( - 4)/(1) \\ = the \: lcm \: is \: 1 \\ = 1 * 2 + 1 * ( - 4)/(1) \\ = 2 + - 4 \\ = 2 - 4 \\ = - 2.`