$(1/2)*(12/13)+(1/3)*(12/13)+(1/4)*(12/13)$

asked by guest
on Sep 20, 2024 at 8:33 am



You asked:

Evaluate the expression: \(\frac{1}{2} \cdot \frac{12}{13} + \frac{1}{3} \cdot \frac{12}{13} + \frac{1}{4} \cdot \frac{12}{13}\)

MathBot Answer:

\[\frac{1}{2} \cdot \frac{12}{13} + \frac{1}{3} \cdot \frac{12}{13} + \frac{1}{4} \cdot \frac{12}{13} = 1\]

\[\begin{aligned}\frac{1}{2} \cdot \frac{12}{13} + \frac{1}{3} \cdot \frac{12}{13} + \frac{1}{4} \cdot \frac{12}{13}& = \frac{6}{13} + \frac{1}{3} \cdot \frac{12}{13} + \frac{1}{4} \cdot \frac{12}{13}\\& = \frac{6}{13} + \frac{4}{13} + \frac{1}{4} \cdot \frac{12}{13}\\& = \frac{6}{13} + \frac{4}{13} + \frac{3}{13}\\& = \frac{10}{13} + \frac{3}{13}\\& = 1\end{aligned}\]

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