3*5/8+2*3/4+2*1/2
You asked:
Evaluate the expression: \(\frac{3 \cdot 5}{8} + \frac{2 \cdot 3}{4} + \frac{2 \cdot 1}{2}\)
MathBot Answer:
\[\frac{3 \cdot 5}{8} + \frac{2 \cdot 3}{4} + \frac{2 \cdot 1}{2} = \frac{35}{8} = 4.375\]
\[\begin{aligned}\frac{3 \cdot 5}{8} + \frac{2 \cdot 3}{4} + \frac{2 \cdot 1}{2}& = 3 \cdot \frac{5}{8} + 2 \cdot \frac{3}{4} + 2 \cdot \frac{1}{2}\\& = \frac{15}{8} + 2 \cdot \frac{3}{4} + 2 \cdot \frac{1}{2}\\& = \frac{15}{8} + \frac{3}{2} + 2 \cdot \frac{1}{2}\\& = \frac{15}{8} + \frac{3}{2} + \frac{2}{2}\\& = \frac{15}{8} + \frac{3}{2} + 1\\& = \frac{27}{8} + 1\\& = \frac{35}{8}\end{aligned}\]