Solve (142.3*304+301.44*5-828.96*95)/(304+301.44+828.96)

$$\frac { ( 142.3 \times 304 + 301.44 \times 5 - 828.96 \times 95 ) } { ( 304 + 301.44 + 828.96 ) }$$

Evaluate

$$-\frac{42481}{1793}\approx -23.692693809$$

Solution Steps

Multiply 142.3 and 304 to get 43259.2.

$$\frac{43259.2+301.44\times 5-828.96\times 95}{304+301.44+828.96}$$

Multiply 301.44 and 5 to get 1507.2.

$$\frac{43259.2+1507.2-828.96\times 95}{304+301.44+828.96}$$

Add 43259.2 and 1507.2 to get 44766.4.

$$\frac{44766.4-828.96\times 95}{304+301.44+828.96}$$

Multiply 828.96 and 95 to get 78751.2.

$$\frac{44766.4-78751.2}{304+301.44+828.96}$$

Subtract 78751.2 from 44766.4 to get -33984.8.

$$\frac{-33984.8}{304+301.44+828.96}$$

Add 304 and 301.44 to get 605.44.

$$\frac{-33984.8}{605.44+828.96}$$

Add 605.44 and 828.96 to get 1434.4.

$$\frac{-33984.8}{1434.4}$$

Expand \frac{-33984.8}{1434.4} by multiplying both numerator and the denominator by 10.

$$\frac{-339848}{14344}$$

Reduce the fraction \frac{-339848}{14344} to lowest terms by extracting and canceling out 8.

$$-\frac{42481}{1793}$$

Factor

$$-\frac{42481}{1793} = -23\frac{1242}{1793} = -23.692693809258227$$