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

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on Nov 17, 2024 at 3:20 am



You asked:

Evaluate the expression: 980−39.84⋅12−42.5336723.44−42.51⋅.85⋅1000+−500\frac{980 - 39.84 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500

MathBot Answer:

980−39.84⋅12−42.5336723.44−42.51⋅.85⋅1000+−500=500134468093≈73.44872453849881779331208787981143\frac{980 - 39.84 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500 = \frac{5001344}{68093} \approx 73.44872453849881779331208787981143

980−39.84⋅12−42.5336723.44−42.51⋅.85⋅1000+−500=980−99625⋅12−42.5336723.44−42.51⋅.85⋅1000+−500=980−1195225−42.5336723.44−42.51⋅.85⋅1000+−500=1254825−42.5336723.44−42.51⋅.85⋅1000+−500=1254825−531671250723.44−42.51⋅.85⋅1000+−500=5742331250723.44−42.51⋅.85⋅1000+−500=57423312501808625−42.51⋅.85⋅1000+−500=57423312501808625−4251100⋅.85⋅1000+−500=574233125068093100⋅.85⋅1000+−500=11484661702325⋅.85⋅1000+−500=11484661702325⋅1720⋅1000+−500=976196117023250⋅1000+−500=3904784468093+−500=500134468093\begin{aligned}\frac{980 - 39.84 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500&=\frac{980 - \frac{996}{25} \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{980 - \frac{11952}{25} - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{12548}{25} - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{12548}{25} - \frac{53167}{1250}}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{574233}{1250}}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{574233}{1250}}{\frac{18086}{25} - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{574233}{1250}}{\frac{18086}{25} - \frac{4251}{100}} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{574233}{1250}}{\frac{68093}{100}} \cdot .85 \cdot 1000 + -500\\&=\frac{1148466}{1702325} \cdot .85 \cdot 1000 + -500\\&=\frac{1148466}{1702325} \cdot \frac{17}{20} \cdot 1000 + -500\\&=\frac{9761961}{17023250} \cdot 1000 + -500\\&=\frac{39047844}{68093} + -500\\&=\frac{5001344}{68093}\end{aligned}

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