17.14+(0.95)+(2*0.06*2.11)=

asked by guest
on Jan 27, 2025 at 3:52 am



You asked:

Evaluate the expression: \(17.14 + 0.95 + 2 \cdot 0.06 \cdot 2.11\)

MathBot Answer:

\[17.14 + 0.95 + 2 \cdot 0.06 \cdot 2.11 = \frac{22929}{1250} = 18.3432\]

\[\begin{aligned}17.14 + 0.95 + 2 \cdot 0.06 \cdot 2.11& = 17 + \frac{14}{100} + \frac{95}{100} + 2 \cdot \frac{6}{100} \cdot \left(2 + \frac{11}{100}\right)\\& = 17 + \frac{7}{50} + \frac{95}{100} + 2 \cdot \frac{6}{100} \cdot \left(2 + \frac{11}{100}\right)\\& = 17 + \frac{7}{50} + \frac{19}{20} + 2 \cdot \frac{6}{100} \cdot \left(2 + \frac{11}{100}\right)\\& = 17 + \frac{7}{50} + \frac{19}{20} + 2 \cdot \frac{6}{100} \cdot \frac{211}{100}\\& = 17 + \frac{7}{50} + \frac{19}{20} + \frac{12}{100} \cdot \frac{211}{100}\\& = 17 + \frac{7}{50} + \frac{19}{20} + \frac{3}{25} \cdot \frac{211}{100}\\& = 17 + \frac{7}{50} + \frac{19}{20} + \frac{633}{2500}\\& = \frac{857}{50} + \frac{19}{20} + \frac{633}{2500}\\& = \frac{1809}{100} + \frac{633}{2500}\\& = \frac{22929}{1250}\end{aligned}\]

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