work out 0.4+2/15 give your answer as a fraction in its simplest form
You asked:
Evaluate the expression: \(0.4 + \frac{2}{15}\)
MathBot Answer:
\[ 0.4 + \frac{2}{15} = \frac{8}{15} = 0.5\overline{3} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{10}\) and \(\frac{2}{15}\) is \(30\). \[ \begin{aligned} 0.4 + \frac{2}{15} &= \frac{4 \cdot 3}{10 \cdot 3} + \frac{2 \cdot 2}{15 \cdot 2} \\ &= \frac{12 + 4}{30} \\ &= \frac{16}{30} \\&= \frac{8}{15} \end{aligned} \]