4/5-8/9+(-7/15)
You asked:
Evaluate the expression: \(\frac{4}{5} - \frac{8}{9} + \frac{-7}{15}\)
MathBot Answer:
\[ \frac{4}{5} - \frac{8}{9} + \frac{-7}{15} = - \frac{5}{9} = -0.\overline{5} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{5}\), \(\frac{-8}{9}\), and \(\frac{-7}{15}\) is \(45\). \[ \begin{aligned} \frac{4}{5} - \frac{8}{9} + \frac{-7}{15} &= \frac{4 \cdot 9}{5 \cdot 9} + \frac{-8 \cdot 5}{9 \cdot 5} + \frac{-7 \cdot 3}{15 \cdot 3} \\ &= \frac{36 + -40 + -21}{45} \\ &= \frac{-25}{45} \\&= - \frac{5}{9} \end{aligned} \]