(7.2 - 2 1/2) * 1/4 + (-1 3/5)

asked by guest
on Oct 20, 2024 at 6:12 pm



You asked:

Evaluate the expression: \(\frac{\left(7.2 - 2\frac{1}{2}\right) \cdot 1}{4} + -1\frac{3}{5}\)

MathBot Answer:

\[\frac{\left(7.2 - 2\frac{1}{2}\right) \cdot 1}{4} + -1\frac{3}{5} = - \frac{17}{40} = -0.425\]


\[\begin{aligned}\frac{\left(7.2 - 2\frac{1}{2}\right) \cdot 1}{4} + -1\frac{3}{5}& = \left(7 + \frac{2}{10} - \frac{5}{2}\right) \cdot \frac{1}{4} - \frac{8}{5}\\& = \left(7 + \frac{1}{5} - \frac{5}{2}\right) \cdot \frac{1}{4} - \frac{8}{5}\\& = \left(\frac{36}{5} - \frac{5}{2}\right) \cdot \frac{1}{4} - \frac{8}{5}\\& = \frac{47}{10} \cdot \frac{1}{4} - \frac{8}{5}\\& = \frac{47}{40} - \frac{8}{5}\\& = - \frac{17}{40}\end{aligned}\]