(180*6.25)+(65*9.99)-(30*4.92)+5

asked by guest
on Jan 18, 2025 at 3:44 pm



You asked:

Evaluate the expression: \(180 \cdot 6.25 + 65 \cdot 9.99 - 30 \cdot 4.92 + 5\)

MathBot Answer:

\[180 \cdot 6.25 + 65 \cdot 9.99 - 30 \cdot 4.92 + 5 = \frac{6527}{4} = 1631.75\]

\[\begin{aligned}180 \cdot 6.25 + 65 \cdot 9.99 - 30 \cdot 4.92 + 5& = 180 \cdot \left(6 + \frac{25}{100}\right) + 65 \cdot \left(9 + \frac{99}{100}\right) - 30 \cdot \left(4 + \frac{92}{100}\right) + 5\\& = 180 \cdot \left(6 + \frac{1}{4}\right) + 65 \cdot \left(9 + \frac{99}{100}\right) - 30 \cdot \left(4 + \frac{92}{100}\right) + 5\\& = 180 \cdot \frac{25}{4} + 65 \cdot \left(9 + \frac{99}{100}\right) - 30 \cdot \left(4 + \frac{92}{100}\right) + 5\\& = 1125 + 65 \cdot \left(9 + \frac{99}{100}\right) - 30 \cdot \left(4 + \frac{92}{100}\right) + 5\\& = 1125 + 65 \cdot \frac{999}{100} - 30 \cdot \left(4 + \frac{92}{100}\right) + 5\\& = 1125 + \frac{12987}{20} - 30 \cdot \left(4 + \frac{92}{100}\right) + 5\\& = 1125 + \frac{12987}{20} - 30 \cdot \left(4 + \frac{23}{25}\right) + 5\\& = 1125 + \frac{12987}{20} - 30 \cdot \frac{123}{25} + 5\\& = 1125 + \frac{12987}{20} - \frac{738}{5} + 5\\& = \frac{35487}{20} - \frac{738}{5} + 5\\& = \frac{6507}{4} + 5\\& = \frac{6527}{4}\end{aligned}\]

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