(0.13*0.3-0.003)/0.09

asked by guest
on Nov 27, 2024 at 3:52 am



You asked:

Evaluate the expression: \(\frac{0.13 \cdot 0.3 - 0.003}{0.09}\)

MathBot Answer:

\[\frac{0.13 \cdot 0.3 - 0.003}{0.09} = \frac{2}{5} = 0.4\]

\[\begin{aligned}\frac{0.13 \cdot 0.3 - 0.003}{0.09}& = \left(\frac{13}{100} \cdot \frac{3}{10} - \frac{3}{1000}\right) \cdot \frac{1}{\frac{9}{100}}\\& = \left(\frac{39}{100} \cdot \frac{1}{10} - \frac{3}{1000}\right) \cdot \frac{1}{\frac{9}{100}}\\& = \left(\frac{39}{1000} - \frac{3}{1000}\right) \cdot \frac{1}{\frac{9}{100}}\\& = \frac{9}{250} \cdot \frac{1}{\frac{9}{100}}\\& = \frac{2}{5}\end{aligned}\]

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