1.2-.61.2-.65

asked by guest
on Oct 22, 2024 at 12:39 am



You asked:

Evaluate the expression: \(1.2 - .61 \cdot .2 - .65\)

MathBot Answer:

\[1.2 - .61 \cdot .2 - .65 = \frac{107}{250} = 0.428\]


\[\begin{aligned}1.2 - .61 \cdot .2 - .65& = 1 + \frac{2}{10} - \frac{61}{100} \cdot \frac{2}{10} - \frac{65}{100}\\& = 1 + \frac{1}{5} - \frac{61}{100} \cdot \frac{2}{10} - \frac{65}{100}\\& = 1 + \frac{1}{5} - \frac{61}{50} \cdot \frac{1}{10} - \frac{65}{100}\\& = 1 + \frac{1}{5} - \frac{61}{500} - \frac{65}{100}\\& = 1 + \frac{1}{5} - \frac{61}{500} - \frac{13}{20}\\& = \frac{6}{5} - \frac{61}{500} - \frac{13}{20}\\& = \frac{539}{500} - \frac{13}{20}\\& = \frac{107}{250}\end{aligned}\]