If a = 2 and b = 3, what is the value of 1/a - 1/b + 1/ab?

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Multiple Choice

If a = 2 and b = 3, what is the value of 1/a - 1/b + 1/ab?

Explanation:
To find the value of the expression \( \frac{1}{a} - \frac{1}{b} + \frac{1}{ab} \) given that \( a = 2 \) and \( b = 3 \), we can start by substituting the values of \( a \) and \( b \) into the expression. 1. Calculate \( \frac{1}{a} \): \[ \frac{1}{2} \] 2. Calculate \( \frac{1}{b} \): \[ \frac{1}{3} \] 3. Calculate \( ab \): \[ ab = 2 \cdot 3 = 6 \] Thus, \( \frac{1}{ab} \) is: \[ \frac{1}{6} \] Now substitute these calculated values back into the expression: \[ \frac{1}{2} - \frac{1}{3} + \frac{1}{6} \] To combine these fractions, we first need a common denominator. The least common multiple of 2, 3, and 6 is 6. We

To find the value of the expression ( \frac{1}{a} - \frac{1}{b} + \frac{1}{ab} ) given that ( a = 2 ) and ( b = 3 ), we can start by substituting the values of ( a ) and ( b ) into the expression.

  1. Calculate ( \frac{1}{a} ):

[

\frac{1}{2}

]

  1. Calculate ( \frac{1}{b} ):

[

\frac{1}{3}

]

  1. Calculate ( ab ):

[

ab = 2 \cdot 3 = 6

]

Thus, ( \frac{1}{ab} ) is:

[

\frac{1}{6}

]

Now substitute these calculated values back into the expression:

[

\frac{1}{2} - \frac{1}{3} + \frac{1}{6}

]

To combine these fractions, we first need a common denominator. The least common multiple of 2, 3, and 6 is 6. We

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