2.75×1.80×1.40

asked by guest
on Oct 23, 2024 at 7:32 am



You asked:

Evaluate the expression: \(2.75 \cdot 1.80 \cdot 1.40\)

MathBot Answer:

\[2.75 \cdot 1.80 \cdot 1.40 = \frac{693}{100} = 6.93\]

\[\begin{aligned}2.75 \cdot 1.80 \cdot 1.40& = \left(2 + \frac{75}{100}\right) \cdot \left(1 + \frac{8}{10}\right) \cdot \left(1 + \frac{4}{10}\right)\\& = \left(2 + \frac{3}{4}\right) \cdot \left(1 + \frac{8}{10}\right) \cdot \left(1 + \frac{4}{10}\right)\\& = \frac{11}{4} \cdot \left(1 + \frac{8}{10}\right) \cdot \left(1 + \frac{4}{10}\right)\\& = \frac{11}{4} \cdot \left(1 + \frac{4}{5}\right) \cdot \left(1 + \frac{4}{10}\right)\\& = \frac{11}{4} \cdot \frac{9}{5} \cdot \left(1 + \frac{4}{10}\right)\\& = \frac{11}{4} \cdot \frac{9}{5} \cdot \left(1 + \frac{2}{5}\right)\\& = \frac{11}{4} \cdot \frac{9}{5} \cdot \frac{7}{5}\\& = \frac{99}{20} \cdot \frac{7}{5}\\& = \frac{693}{100}\end{aligned}\]

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