Solve 434,78-157*279,9/(79,2-6,2-76,5)

$$\frac { 434,78 - 157 \cdot 279,9 } { ( 79,2 - 6,2 - 76,5 ) }$$

Evaluate

$$\frac{2175476}{175}\approx 12431,291428571$$

Solution Steps

Multiply 157 and 279,9 to get 43944,3.

$$\frac{434,78-43944,3}{79,2-6,2-76,5}$$

Subtract 43944,3 from 434,78 to get -43509,52.

$$\frac{-43509,52}{79,2-6,2-76,5}$$

Subtract 6,2 from 79,2 to get 73.

$$\frac{-43509,52}{73-76,5}$$

Subtract 76,5 from 73 to get -3,5.

$$\frac{-43509,52}{-3,5}$$

Expand \frac{-43509,52}{-3,5} by multiplying both numerator and the denominator by 100.

$$\frac{-4350952}{-350}$$

Reduce the fraction \frac{-4350952}{-350} to lowest terms by extracting and canceling out -2.

$$\frac{2175476}{175}$$

Factor

$$\frac{113 \cdot 4813 \cdot 2 ^ {2}}{7 \cdot 5 ^ {2}} = 12431\frac{51}{175} = 12431.291428571429$$