1.75×1.80×1.4

asked by guest
on Oct 23, 2024 at 7:31 am



You asked:

Evaluate the expression: \(1.75 \cdot 1.80 \cdot 1.4\)

MathBot Answer:

\[1.75 \cdot 1.80 \cdot 1.4 = \frac{441}{100} = 4.41\]

\[\begin{aligned}1.75 \cdot 1.80 \cdot 1.4& = \left(1 + \frac{75}{100}\right) \cdot \left(1 + \frac{8}{10}\right) \cdot \left(1 + \frac{4}{10}\right)\\& = \left(1 + \frac{3}{4}\right) \cdot \left(1 + \frac{8}{10}\right) \cdot \left(1 + \frac{4}{10}\right)\\& = \frac{7}{4} \cdot \left(1 + \frac{8}{10}\right) \cdot \left(1 + \frac{4}{10}\right)\\& = \frac{7}{4} \cdot \left(1 + \frac{4}{5}\right) \cdot \left(1 + \frac{4}{10}\right)\\& = \frac{7}{4} \cdot \frac{9}{5} \cdot \left(1 + \frac{4}{10}\right)\\& = \frac{7}{4} \cdot \frac{9}{5} \cdot \left(1 + \frac{2}{5}\right)\\& = \frac{7}{4} \cdot \frac{9}{5} \cdot \frac{7}{5}\\& = \frac{63}{20} \cdot \frac{7}{5}\\& = \frac{441}{100}\end{aligned}\]

+ Submit Question