1.96×22/7×12.2/3

asked by guest
on Nov 19, 2024 at 6:43 pm



You asked:

Evaluate the expression: \(\frac{\frac{1.96 \cdot 22}{7} \cdot 12.2}{3}\)

MathBot Answer:

\[\frac{\frac{1.96 \cdot 22}{7} \cdot 12.2}{3} = \frac{9394}{375} = 25.050\overline{6}\]

\[\begin{aligned}\frac{\frac{1.96 \cdot 22}{7} \cdot 12.2}{3}& = \left(1 + \frac{96}{100}\right) \cdot \frac{22}{7} \cdot \left(12 + \frac{2}{10}\right) \cdot \frac{1}{3}\\& = \left(1 + \frac{24}{25}\right) \cdot \frac{22}{7} \cdot \left(12 + \frac{2}{10}\right) \cdot \frac{1}{3}\\& = \frac{49}{25} \cdot \frac{22}{7} \cdot \left(12 + \frac{2}{10}\right) \cdot \frac{1}{3}\\& = \frac{49}{25} \cdot \frac{22}{7} \cdot \left(12 + \frac{1}{5}\right) \cdot \frac{1}{3}\\& = \frac{49}{25} \cdot \frac{22}{7} \cdot \frac{61}{5} \cdot \frac{1}{3}\\& = \frac{49}{25} \cdot \frac{22}{7} \cdot \frac{61}{15}\\& = \frac{1078}{25} \cdot \frac{1}{7} \cdot \frac{61}{15}\\& = \frac{154}{25} \cdot \frac{61}{15}\\& = \frac{9394}{375}\end{aligned}\]

+ Submit Question