Solve 5*8+3-100^2/85^

$$5 \times 8+3- \frac{ { 100 }^{ 2 } }{ { 85 }^{ } }$$

Evaluate

$$-\frac{1269}{17}\approx -74.647058824$$

Solution Steps

Multiply 5 and 8 to get 40.

$$40+3-\frac{100^{2}}{85^{1}}$$

Add 40 and 3 to get 43.

$$43-\frac{100^{2}}{85^{1}}$$

Calculate 100 to the power of 2 and get 10000.

$$43-\frac{10000}{85^{1}}$$

Calculate 85 to the power of 1 and get 85.

$$43-\frac{10000}{85}$$

Reduce the fraction \frac{10000}{85} to lowest terms by extracting and canceling out 5.

$$43-\frac{2000}{17}$$

Convert 43 to fraction \frac{731}{17}.

$$\frac{731}{17}-\frac{2000}{17}$$

Since \frac{731}{17} and \frac{2000}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{731-2000}{17}$$

Subtract 2000 from 731 to get -1269.

$$-\frac{1269}{17}$$

Factor

$$-\frac{1269}{17} = -74\frac{11}{17} = -74.6470588235294$$