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

asked by guest
on Nov 13, 2024 at 10:46 pm



You asked:

Evaluate the expression: \(\frac{1}{1 - \frac{1}{3}} - \frac{1}{1 - \frac{1}{2}}\)

MathBot Answer:

\[\frac{1}{1 - \frac{1}{3}} - \frac{1}{1 - \frac{1}{2}} = - \frac{1}{2} = -0.5\]

\[\begin{aligned}\frac{1}{1 - \frac{1}{3}} - \frac{1}{1 - \frac{1}{2}}& = \frac{1}{\frac{2}{3}} - \frac{1}{1 - \frac{1}{2}}\\& = \frac{3}{2} - \frac{1}{1 - \frac{1}{2}}\\& = \frac{3}{2} - \frac{1}{\frac{1}{2}}\\& = \frac{3}{2} - 2\\& = - \frac{1}{2}\end{aligned}\]

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