(170*6.25)+(75*9.99)-(26*4.92)-161

asked by guest
on Jan 18, 2025 at 3:46 pm



You asked:

Evaluate the expression: \(170 \cdot 6.25 + 75 \cdot 9.99 - 26 \cdot 4.92 - 161\)

MathBot Answer:

\[170 \cdot 6.25 + 75 \cdot 9.99 - 26 \cdot 4.92 - 161 = \frac{152283}{100} = 1522.83\]

\[\begin{aligned}170 \cdot 6.25 + 75 \cdot 9.99 - 26 \cdot 4.92 - 161& = 170 \cdot \left(6 + \frac{25}{100}\right) + 75 \cdot \left(9 + \frac{99}{100}\right) - 26 \cdot \left(4 + \frac{92}{100}\right) - 161\\& = 170 \cdot \left(6 + \frac{1}{4}\right) + 75 \cdot \left(9 + \frac{99}{100}\right) - 26 \cdot \left(4 + \frac{92}{100}\right) - 161\\& = 170 \cdot \frac{25}{4} + 75 \cdot \left(9 + \frac{99}{100}\right) - 26 \cdot \left(4 + \frac{92}{100}\right) - 161\\& = \frac{2125}{2} + 75 \cdot \left(9 + \frac{99}{100}\right) - 26 \cdot \left(4 + \frac{92}{100}\right) - 161\\& = \frac{2125}{2} + 75 \cdot \frac{999}{100} - 26 \cdot \left(4 + \frac{92}{100}\right) - 161\\& = \frac{2125}{2} + \frac{2997}{4} - 26 \cdot \left(4 + \frac{92}{100}\right) - 161\\& = \frac{2125}{2} + \frac{2997}{4} - 26 \cdot \left(4 + \frac{23}{25}\right) - 161\\& = \frac{2125}{2} + \frac{2997}{4} - 26 \cdot \frac{123}{25} - 161\\& = \frac{2125}{2} + \frac{2997}{4} - \frac{3198}{25} - 161\\& = \frac{7247}{4} - \frac{3198}{25} - 161\\& = \frac{168383}{100} - 161\\& = \frac{152283}{100}\end{aligned}\]

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