Solve =24(2609)-(1279*72.5)/24(142039)-1279^2

$$= \frac { 24 ( 2609 ) - ( 1279 \cdot 72.5 ) } { 24 ( 142039 ) - 1279 ^ { 2 } }$$

Evaluate

$$-\frac{60223}{3546190}\approx -0.016982452$$

Solution Steps

Multiply 24 and 2609 to get 62616.

$$\frac{62616-1279\times 72.5}{24\times 142039-1279^{2}}$$

Multiply 1279 and 72.5 to get 92727.5.

$$\frac{62616-92727.5}{24\times 142039-1279^{2}}$$

Subtract 92727.5 from 62616 to get -30111.5.

$$\frac{-30111.5}{24\times 142039-1279^{2}}$$

Multiply 24 and 142039 to get 3408936.

$$\frac{-30111.5}{3408936-1279^{2}}$$

Calculate 1279 to the power of 2 and get 1635841.

$$\frac{-30111.5}{3408936-1635841}$$

Subtract 1635841 from 3408936 to get 1773095.

$$\frac{-30111.5}{1773095}$$

Expand \frac{-30111.5}{1773095} by multiplying both numerator and the denominator by 10.

$$\frac{-301115}{17730950}$$

Reduce the fraction \frac{-301115}{17730950} to lowest terms by extracting and canceling out 5.

$$-\frac{60223}{3546190}$$

Factor

$$-\frac{60223}{3546190} = -0.016982451588888357$$