2.6+0.5(1 3/4)-3/2
You asked:
Evaluate the expression: \(2.6 + 0.5 \cdot 1\frac{3}{4} - \frac{3}{2}\)
MathBot Answer:
\[2.6 + 0.5 \cdot 1\frac{3}{4} - \frac{3}{2} = \frac{79}{40} = 1.975\]
\[\begin{aligned}2.6 + 0.5 \cdot 1\frac{3}{4} - \frac{3}{2}& = 2 + \frac{6}{10} + \frac{5}{10} \cdot 1\frac{3}{4} - \frac{3}{2}\\& = 2 + \frac{3}{5} + \frac{5}{10} \cdot 1\frac{3}{4} - \frac{3}{2}\\& = 2 + \frac{3}{5} + \frac{1}{2} \cdot 1\frac{3}{4} - \frac{3}{2}\\& = 2 + \frac{3}{5} + \frac{7}{8} - \frac{3}{2}\\& = \frac{13}{5} + \frac{7}{8} - \frac{3}{2}\\& = \frac{139}{40} - \frac{3}{2}\\& = \frac{79}{40}\end{aligned}\]