((980-46.73*12-42.5336))/(723.44-42.51)*.85*1000+-500

asked by guest
on Nov 17, 2024 at 3:17 am



You asked:

Evaluate the expression: \(\frac{980 - 46.73 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\)

MathBot Answer:

\[\frac{980 - 46.73 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500 = - \frac{2026456}{68093} \approx -29.76012218583407986136607287092653\]

\[\begin{aligned}\frac{980 - 46.73 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500& = \left(980 - \left(46 + \frac{73}{100}\right) \cdot 12 - \left(42 + \frac{5336}{10000}\right)\right) \cdot \frac{1}{723 + \frac{44}{100} - \left(42 + \frac{51}{100}\right)} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \left(980 - \frac{4673}{100} \cdot 12 - \left(42 + \frac{5336}{10000}\right)\right) \cdot \frac{1}{723 + \frac{44}{100} - \left(42 + \frac{51}{100}\right)} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \left(980 - \frac{14019}{25} - \left(42 + \frac{5336}{10000}\right)\right) \cdot \frac{1}{723 + \frac{44}{100} - \left(42 + \frac{51}{100}\right)} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \left(980 - \frac{14019}{25} - \left(42 + \frac{667}{1250}\right)\right) \cdot \frac{1}{723 + \frac{44}{100} - \left(42 + \frac{51}{100}\right)} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \left(980 - \frac{14019}{25} - \frac{53167}{1250}\right) \cdot \frac{1}{723 + \frac{44}{100} - \left(42 + \frac{51}{100}\right)} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \left(\frac{10481}{25} - \frac{53167}{1250}\right) \cdot \frac{1}{723 + \frac{44}{100} - \left(42 + \frac{51}{100}\right)} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{470883}{1250} \cdot \frac{1}{723 + \frac{44}{100} - \left(42 + \frac{51}{100}\right)} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{470883}{1250} \cdot \frac{1}{723 + \frac{11}{25} - \left(42 + \frac{51}{100}\right)} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{470883}{1250} \cdot \frac{1}{723 + \frac{11}{25} - \frac{4251}{100}} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{470883}{1250} \cdot \frac{1}{\frac{18086}{25} - \frac{4251}{100}} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{470883}{1250} \cdot \frac{1}{\frac{68093}{100}} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{470883}{1250} \cdot \frac{100}{68093} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{941766}{1702325} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{16010022}{340465} \cdot \frac{1000}{100} - 500\\& = \frac{8005011}{17023250} \cdot 1000 - 500\\& = \frac{32020044}{68093} - 500\\& = - \frac{2026456}{68093}\end{aligned}\]

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