0.13*0.3-0.003/0.09

asked by guest
on Nov 27, 2024 at 3:50 am



You asked:

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

MathBot Answer:

\[0.13 \cdot 0.3 - \frac{0.003}{0.09} = \frac{17}{3000} = 0.005\overline{6}\]

\[\begin{aligned}0.13 \cdot 0.3 - \frac{0.003}{0.09}& = \frac{13}{100} \cdot \frac{3}{10} - \frac{3}{1000} \cdot \frac{1}{\frac{9}{100}}\\& = \frac{39}{100} \cdot \frac{1}{10} - \frac{3}{1000} \cdot \frac{1}{\frac{9}{100}}\\& = \frac{39}{1000} - \frac{3}{1000} \cdot \frac{1}{\frac{9}{100}}\\& = \frac{39}{1000} - \frac{3}{90}\\& = \frac{39}{1000} - \frac{1}{30}\\& = \frac{17}{3000}\end{aligned}\]

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