Solve 2860-7*20.57*20/(3002-7*423.18)(2914-7*400)

$$\frac { 2860 - 7 \times 20.57 \times 20 } { ( 3002 - 7 \times 423.18 ) ( 2914 - 7 \times 400 ) }$$

Evaluate

$$-\frac{165}{37753}\approx -0.004370514$$

Solution Steps

Multiply 7 and 20.57 to get 143.99.

$$\frac{2860-143.99\times 20}{\left(3002-7\times 423.18\right)\left(2914-7\times 400\right)}$$

Multiply 143.99 and 20 to get 2879.8.

$$\frac{2860-2879.8}{\left(3002-7\times 423.18\right)\left(2914-7\times 400\right)}$$

Subtract 2879.8 from 2860 to get -19.8.

$$\frac{-19.8}{\left(3002-7\times 423.18\right)\left(2914-7\times 400\right)}$$

Multiply 7 and 423.18 to get 2962.26.

$$\frac{-19.8}{\left(3002-2962.26\right)\left(2914-7\times 400\right)}$$

Subtract 2962.26 from 3002 to get 39.74.

$$\frac{-19.8}{39.74\left(2914-7\times 400\right)}$$

Multiply 7 and 400 to get 2800.

$$\frac{-19.8}{39.74\left(2914-2800\right)}$$

Subtract 2800 from 2914 to get 114.

$$\frac{-19.8}{39.74\times 114}$$

Multiply 39.74 and 114 to get 4530.36.

$$\frac{-19.8}{4530.36}$$

Expand \frac{-19.8}{4530.36} by multiplying both numerator and the denominator by 100.

$$\frac{-1980}{453036}$$

Reduce the fraction \frac{-1980}{453036} to lowest terms by extracting and canceling out 12.

$$-\frac{165}{37753}$$

Factor

$$-\frac{165}{37753} = -0.004370513601568087$$