((980-39.84*12-42.5336))/(723.44-42.51)*.85*1000+-500

asked by guest
on Nov 17, 2024 at 3:20 am



You asked:

Evaluate the expression: \(\frac{980 - 39.84 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\)

MathBot Answer:

\[\frac{980 - 39.84 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500 = \frac{5001344}{68093} \approx 73.44872453849881779331208787981143\]

\[\begin{aligned}\frac{980 - 39.84 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500& = \left(980 - \left(39 + \frac{84}{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 - \left(39 + \frac{21}{25}\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{996}{25} \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{11952}{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{11952}{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{11952}{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{12548}{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{574233}{1250} \cdot \frac{1}{723 + \frac{44}{100} - \left(42 + \frac{51}{100}\right)} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{574233}{1250} \cdot \frac{1}{723 + \frac{11}{25} - \left(42 + \frac{51}{100}\right)} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{574233}{1250} \cdot \frac{1}{723 + \frac{11}{25} - \frac{4251}{100}} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{574233}{1250} \cdot \frac{1}{\frac{18086}{25} - \frac{4251}{100}} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{574233}{1250} \cdot \frac{1}{\frac{68093}{100}} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{574233}{1250} \cdot \frac{100}{68093} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{1148466}{1702325} \cdot \frac{85}{100} \cdot 1000 - 500\\& = \frac{19523922}{340465} \cdot \frac{1000}{100} - 500\\& = \frac{9761961}{17023250} \cdot 1000 - 500\\& = \frac{39047844}{68093} - 500\\& = \frac{5001344}{68093}\end{aligned}\]

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