(1.25 ÷ 0.50)1 ÷ 9 − 1
You asked:
Evaluate the expression: \(\frac{\frac{1.25}{0.50} \cdot 1}{9} - 1\)
MathBot Answer:
\[\frac{\frac{1.25}{0.50} \cdot 1}{9} - 1 = - \frac{13}{18} = -0.7\overline{2}\]
\[\begin{aligned}\frac{\frac{1.25}{0.50} \cdot 1}{9} - 1& = \left(1 + \frac{25}{100}\right) \cdot \frac{1}{\frac{5}{10}} \cdot \frac{1}{9} - 1\\& = \left(1 + \frac{1}{4}\right) \cdot \frac{1}{\frac{5}{10}} \cdot \frac{1}{9} - 1\\& = \frac{5}{4} \cdot \frac{1}{\frac{5}{10}} \cdot \frac{1}{9} - 1\\& = \frac{5}{4} \cdot \frac{1}{\frac{1}{2}} \cdot \frac{1}{9} - 1\\& = \frac{5}{4} \cdot 2 \cdot \frac{1}{9} - 1\\& = \frac{5}{4} \cdot \frac{2}{9} - 1\\& = \frac{5}{2} \cdot \frac{1}{9} - 1\\& = \frac{5}{18} - 1\\& = - \frac{13}{18}\end{aligned}\]