3⁄4 - 1/6 + 1/8
You asked:
Evaluate the expression: \(\frac{3}{4} - \frac{1}{6} + \frac{1}{8}\)
MathBot Answer:
\[ \frac{3}{4} - \frac{1}{6} + \frac{1}{8} = \frac{17}{24} = 0.708\overline{3} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{4}\), \(\frac{-1}{6}\), and \(\frac{1}{8}\) is \(24\). \[ \begin{aligned} \frac{3}{4} - \frac{1}{6} + \frac{1}{8} &= \frac{3 \cdot 6}{4 \cdot 6} + \frac{-1 \cdot 4}{6 \cdot 4} + \frac{1 \cdot 3}{8 \cdot 3} \\ &= \frac{18 + -4 + 3}{24} \\ &= \frac{17}{24} \end{aligned} \]