If x = 1/3 what is the value of 1/x + 1/(x - 1)

Answer 1

This question involves plugging in values and knowing how to divide and multiply fractions. Therefore, since x = 1/3, the first step is to plug in 1/3 into all the x of the equation and then solve for it using fraction rules. This can be done by first substituting x:

1/x = 1/(1/3) = 1 * (3/1) = 3

1/(x-1) = 1/((1/3) - 1) = 1/((1/3)-(3/3)) = 1/(-2/3) = 1 * (-3/2) = -3/2

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

Answer 2

1/(1/3) = 1(3) = 3

1/3 - 1 = -2/3

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

3 + (-3/2) = 6/2 - 3/2 = 3/2 (aka 1 1/2)