2.3/5 + 3.6/4
You asked:
Evaluate the expression: \(\frac{2.3}{5} + \frac{3.6}{4}\)
MathBot Answer:
\[\frac{2.3}{5} + \frac{3.6}{4} = \frac{34}{25} = 1.36\]
\[\begin{aligned}\frac{2.3}{5} + \frac{3.6}{4}& = \left(2 + \frac{3}{10}\right) \cdot \frac{1}{5} + \left(3 + \frac{6}{10}\right) \cdot \frac{1}{4}\\& = \frac{23}{10} \cdot \frac{1}{5} + \left(3 + \frac{6}{10}\right) \cdot \frac{1}{4}\\& = \frac{23}{50} + \left(3 + \frac{6}{10}\right) \cdot \frac{1}{4}\\& = \frac{23}{50} + \left(3 + \frac{3}{5}\right) \cdot \frac{1}{4}\\& = \frac{23}{50} + \frac{18}{5} \cdot \frac{1}{4}\\& = \frac{23}{50} + \frac{9}{10}\\& = \frac{34}{25}\end{aligned}\]