((20.12+11.76)/2*194)-928.95-26.36=

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on Nov 25, 2024 at 11:57 am



You asked:

Evaluate the expression: 20.12+11.762⋅194−928.95−26.36\frac{20.12 + 11.76}{2} \cdot 194 - 928.95 - 26.36

MathBot Answer:

20.12+11.762⋅194−928.95−26.36=4274120=2137.05\frac{20.12 + 11.76}{2} \cdot 194 - 928.95 - 26.36 = \frac{42741}{20} = 2137.05

20.12+11.762⋅194−928.95−26.36=50325+11.762⋅194−928.95−26.36=50325+294252⋅194−928.95−26.36=797252⋅194−928.95−26.36=79750⋅194−928.95−26.36=7730925−928.95−26.36=7730925−1857920−26.36=216341100−26.36=216341100−65925=4274120\begin{aligned}\frac{20.12 + 11.76}{2} \cdot 194 - 928.95 - 26.36&=\frac{\frac{503}{25} + 11.76}{2} \cdot 194 - 928.95 - 26.36\\&=\frac{\frac{503}{25} + \frac{294}{25}}{2} \cdot 194 - 928.95 - 26.36\\&=\frac{\frac{797}{25}}{2} \cdot 194 - 928.95 - 26.36\\&=\frac{797}{50} \cdot 194 - 928.95 - 26.36\\&=\frac{77309}{25} - 928.95 - 26.36\\&=\frac{77309}{25} - \frac{18579}{20} - 26.36\\&=\frac{216341}{100} - 26.36\\&=\frac{216341}{100} - \frac{659}{25}\\&=\frac{42741}{20}\end{aligned}

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