Solve (61.5+4180*2.5*10^-1)*(22.8-24.3)/(7.04*10^-2*(24.3-53.9))

$$( 61.5 + 4180 \times 2.5 \times 10 ^ { - 1 } ) \times ( 22.8 - 24.3 ) / ( 7.04 \times 10 ^ { - 2 } \times ( 24.3 - 53.9 ) )$$

Evaluate

$$\frac{20746875}{26048}\approx 796.486294533$$

Solution Steps

Multiply 4180 and 2.5 to get 10450.

$$\frac{\left(61.5+10450\times 10^{-1}\right)\left(22.8-24.3\right)}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Calculate 10 to the power of -1 and get \frac{1}{10}.

$$\frac{\left(61.5+10450\times \frac{1}{10}\right)\left(22.8-24.3\right)}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Multiply 10450 and \frac{1}{10} to get 1045.

$$\frac{\left(61.5+1045\right)\left(22.8-24.3\right)}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Add 61.5 and 1045 to get 1106.5.

$$\frac{1106.5\left(22.8-24.3\right)}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Subtract 24.3 from 22.8 to get -1.5.

$$\frac{1106.5\left(-1.5\right)}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Multiply 1106.5 and -1.5 to get -1659.75.

$$\frac{-1659.75}{7.04\times 10^{-2}\left(24.3-53.9\right)}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{-1659.75}{7.04\times \frac{1}{100}\left(24.3-53.9\right)}$$

Multiply 7.04 and \frac{1}{100} to get \frac{44}{625}.

$$\frac{-1659.75}{\frac{44}{625}\left(24.3-53.9\right)}$$

Subtract 53.9 from 24.3 to get -29.6.

$$\frac{-1659.75}{\frac{44}{625}\left(-29.6\right)}$$

Multiply \frac{44}{625} and -29.6 to get -\frac{6512}{3125}.

$$\frac{-1659.75}{-\frac{6512}{3125}}$$

Divide -1659.75 by -\frac{6512}{3125} by multiplying -1659.75 by the reciprocal of -\frac{6512}{3125}.

$$-1659.75\left(-\frac{3125}{6512}\right)$$

Multiply -1659.75 and -\frac{3125}{6512} to get \frac{20746875}{26048}.

$$\frac{20746875}{26048}$$

Factor

$$\frac{3 \cdot 2213 \cdot 5 ^ {5}}{11 \cdot 37 \cdot 2 ^ {6}} = 796\frac{12667}{26048} = 796.4862945331695$$