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

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on Nov 17, 2024 at 3:17 am



You asked:

Evaluate the expression: 980−46.73⋅12−42.5336723.44−42.51⋅.85⋅1000+−500\frac{980 - 46.73 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500

MathBot Answer:

980−46.73⋅12−42.5336723.44−42.51⋅.85⋅1000+−500=−202645668093≈−29.76012218583407986136607287092653\frac{980 - 46.73 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500 = - \frac{2026456}{68093} \approx -29.76012218583407986136607287092653

980−46.73⋅12−42.5336723.44−42.51⋅.85⋅1000+−500=980−4673100⋅12−42.5336723.44−42.51⋅.85⋅1000+−500=980−1401925−42.5336723.44−42.51⋅.85⋅1000+−500=1048125−42.5336723.44−42.51⋅.85⋅1000+−500=1048125−531671250723.44−42.51⋅.85⋅1000+−500=4708831250723.44−42.51⋅.85⋅1000+−500=47088312501808625−42.51⋅.85⋅1000+−500=47088312501808625−4251100⋅.85⋅1000+−500=470883125068093100⋅.85⋅1000+−500=9417661702325⋅.85⋅1000+−500=9417661702325⋅1720⋅1000+−500=800501117023250⋅1000+−500=3202004468093+−500=−202645668093\begin{aligned}\frac{980 - 46.73 \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500&=\frac{980 - \frac{4673}{100} \cdot 12 - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{980 - \frac{14019}{25} - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{10481}{25} - 42.5336}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{10481}{25} - \frac{53167}{1250}}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{470883}{1250}}{723.44 - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{470883}{1250}}{\frac{18086}{25} - 42.51} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{470883}{1250}}{\frac{18086}{25} - \frac{4251}{100}} \cdot .85 \cdot 1000 + -500\\&=\frac{\frac{470883}{1250}}{\frac{68093}{100}} \cdot .85 \cdot 1000 + -500\\&=\frac{941766}{1702325} \cdot .85 \cdot 1000 + -500\\&=\frac{941766}{1702325} \cdot \frac{17}{20} \cdot 1000 + -500\\&=\frac{8005011}{17023250} \cdot 1000 + -500\\&=\frac{32020044}{68093} + -500\\&=\frac{-2026456}{68093}\end{aligned}

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