Solve 164-26+-56*18/26^2+18^2

$$\frac{ 164-26+-56 \cdot 18 }{ { 26 }^{ 2 } + { 18 }^{ 2 } }$$

Evaluate

$$-\frac{87}{100}=-0.87$$

Solution Steps

Subtract 26 from 164 to get 138.

$$\frac{138-56\times 18}{26^{2}+18^{2}}$$

Multiply -56 and 18 to get -1008.

$$\frac{138-1008}{26^{2}+18^{2}}$$

Subtract 1008 from 138 to get -870.

$$\frac{-870}{26^{2}+18^{2}}$$

Calculate 26 to the power of 2 and get 676.

$$\frac{-870}{676+18^{2}}$$

Calculate 18 to the power of 2 and get 324.

$$\frac{-870}{676+324}$$

Add 676 and 324 to get 1000.

$$\frac{-870}{1000}$$

Reduce the fraction \frac{-870}{1000} to lowest terms by extracting and canceling out 10.

$$-\frac{87}{100}$$

Factor

$$-\frac{87}{100} = -0.87$$