4+3×1/2÷2+5×1/2
You asked:
Evaluate the expression: \(4 + \frac{\frac{3 \cdot 1}{2}}{2} + \frac{5 \cdot 1}{2}\)
MathBot Answer:
\[4 + \frac{\frac{3 \cdot 1}{2}}{2} + \frac{5 \cdot 1}{2} = \frac{29}{4} = 7.25\]
\[\begin{aligned}4 + \frac{\frac{3 \cdot 1}{2}}{2} + \frac{5 \cdot 1}{2}& = 4 + 3 \cdot \frac{1}{2} \cdot \frac{1}{2} + 5 \cdot \frac{1}{2}\\& = 4 + 3 \cdot \frac{1}{4} + 5 \cdot \frac{1}{2}\\& = 4 + \frac{3}{4} + 5 \cdot \frac{1}{2}\\& = 4 + \frac{3}{4} + \frac{5}{2}\\& = \frac{19}{4} + \frac{5}{2}\\& = \frac{29}{4}\end{aligned}\]