4.32(3.7+1.65)

asked by guest
on Oct 23, 2024 at 3:32 pm



You asked:

Evaluate the expression: \(4.32 \cdot \left(3.7 + 1.65\right)\)

MathBot Answer:

\[4.32 \cdot \left(3.7 + 1.65\right) = \frac{2889}{125} = 23.112\]

\[\begin{aligned}4.32 \cdot \left(3.7 + 1.65\right)& = \left(4 + \frac{32}{100}\right) \cdot \left(3 + \frac{7}{10} + 1 + \frac{65}{100}\right)\\& = \left(4 + \frac{8}{25}\right) \cdot \left(3 + \frac{7}{10} + 1 + \frac{65}{100}\right)\\& = \frac{108}{25} \cdot \left(3 + \frac{7}{10} + 1 + \frac{65}{100}\right)\\& = \frac{108}{25} \cdot \left(3 + \frac{7}{10} + 1 + \frac{13}{20}\right)\\& = \frac{108}{25} \cdot \left(\frac{37}{10} + 1 + \frac{13}{20}\right)\\& = \frac{108}{25} \cdot \left(\frac{47}{10} + \frac{13}{20}\right)\\& = \frac{108}{25} \cdot \frac{107}{20}\\& = \frac{2889}{125}\end{aligned}\]

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