1000/(1000*1.5*1.2*0.95)

asked by guest
on Apr 03, 2025 at 1:00 am



You asked:

Evaluate the expression: 10001000⋅1.5⋅1.2⋅0.95\frac{1000}{1000 \cdot 1.5 \cdot 1.2 \cdot 0.95}

MathBot Answer:

10001000⋅1.5⋅1.2⋅0.95=100171=0.584795321637426900‾\frac{1000}{1000 \cdot 1.5 \cdot 1.2 \cdot 0.95} = \frac{100}{171} = 0.\overline{584795321637426900}

10001000⋅1.5⋅1.2⋅0.95=10001000⋅32⋅1.2⋅0.95=10001500⋅1.2⋅0.95=10001500⋅65⋅0.95=10001800⋅0.95=10001800⋅1920=10001710=100171\begin{aligned}\frac{1000}{1000 \cdot 1.5 \cdot 1.2 \cdot 0.95}&=\frac{1000}{1000 \cdot \frac{3}{2} \cdot 1.2 \cdot 0.95}\\&=\frac{1000}{1500 \cdot 1.2 \cdot 0.95}\\&=\frac{1000}{1500 \cdot \frac{6}{5} \cdot 0.95}\\&=\frac{1000}{1800 \cdot 0.95}\\&=\frac{1000}{1800 \cdot \frac{19}{20}}\\&=\frac{1000}{1710}\\&=\frac{100}{171}\end{aligned}

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