53/54 - 4/6 - 1/27
You asked:
Evaluate the expression: \(\frac{53}{54} - \frac{4}{6} - \frac{1}{27}\)
MathBot Answer:
\[ \frac{53}{54} - \frac{4}{6} - \frac{1}{27} = \frac{5}{18} = 0.2\overline{7} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{53}{54}\), \(\frac{-4}{6}\), and \(\frac{-1}{27}\) is \(54\). \[ \begin{aligned} \frac{53}{54} - \frac{4}{6} - \frac{1}{27} &= \frac{53 \cdot 1}{54 \cdot 1} + \frac{-4 \cdot 9}{6 \cdot 9} + \frac{-1 \cdot 2}{27 \cdot 2} \\ &= \frac{53 + -36 + -2}{54} \\ &= \frac{15}{54} \\&= \frac{5}{18} \end{aligned} \]