4/3 + 1/5 - 2/15
You asked:
Evaluate the expression: \(\frac{4}{3} + \frac{1}{5} - \frac{2}{15}\)
MathBot Answer:
\[ \frac{4}{3} + \frac{1}{5} - \frac{2}{15} = \frac{7}{5} = 1.4 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{3}\), \(\frac{1}{5}\), and \(\frac{-2}{15}\) is \(15\). \[ \begin{aligned} \frac{4}{3} + \frac{1}{5} - \frac{2}{15} &= \frac{4 \cdot 5}{3 \cdot 5} + \frac{1 \cdot 3}{5 \cdot 3} + \frac{-2 \cdot 1}{15 \cdot 1} \\ &= \frac{20 + 3 + -2}{15} \\ &= \frac{21}{15} \\&= \frac{7}{5} \end{aligned} \]