5/9-5/12
You asked:
Evaluate the expression: \(\frac{5}{9} - \frac{5}{12}\)
MathBot Answer:
\[ \frac{5}{9} - \frac{5}{12} = \frac{5}{36} = 0.13\overline{8} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{9}\) and \(\frac{-5}{12}\) is \(36\). \[ \begin{aligned} \frac{5}{9} - \frac{5}{12} &= \frac{5 \cdot 4}{9 \cdot 4} + \frac{-5 \cdot 3}{12 \cdot 3} \\ &= \frac{20 + -15}{36} \\ &= \frac{5}{36} \end{aligned} \]