Question

What is the value of the expression 1/2 + 2/3 when b = -5?

-17/6
-1/6
23/6
I don't know.​

Answer 1

1st answer is correct

Explanation:

`\sf (1)/(2) +(2b)/(3)`

Given that,

b = -5

To find the value of the above expression, replace b with -5.

`\sf (1)/(2) +(2b)/(3)\\\\\sf (1)/(2) +(2*(-5))/(3)\\\\\sf (1)/(2) +(-10)/(3)`

Now, to solve the above fractions, you have to make the denominator the same.

For that, multiply both the numerator and denominator of (1/2) & (-10/3) by 3 & 2 respectively.

Let us solve it now.

`\sf (1)/(2) +(-10)/(3)\\\\\sf (1)/(2) -(10)/(3)\\\\\sf (1*3)/(2*3) -(10*2)/(3*2)\\\\\sf(3)/(6) -(20)/(6) \\\\\sf(-17)/(6)`