Solve 874/58+frac{85{558-255}}

$$\frac{ 874 }{ 58+ \frac{ 85 }{ 558-255 } }$$

Evaluate

$$\frac{264822}{17659}\approx 14.996432414$$

Solution Steps

Subtract 255 from 558 to get 303.

$$\frac{874}{58+\frac{85}{303}}$$

Convert 58 to fraction \frac{17574}{303}.

$$\frac{874}{\frac{17574}{303}+\frac{85}{303}}$$

Since \frac{17574}{303} and \frac{85}{303} have the same denominator, add them by adding their numerators.

$$\frac{874}{\frac{17574+85}{303}}$$

Add 17574 and 85 to get 17659.

$$\frac{874}{\frac{17659}{303}}$$

Divide 874 by \frac{17659}{303} by multiplying 874 by the reciprocal of \frac{17659}{303}.

$$874\times \frac{303}{17659}$$

Express 874\times \frac{303}{17659} as a single fraction.

$$\frac{874\times 303}{17659}$$

Multiply 874 and 303 to get 264822.

$$\frac{264822}{17659}$$

Factor

$$\frac{2 \cdot 3 \cdot 19 \cdot 23 \cdot 101}{17659} = 14\frac{17596}{17659} = 14.996432414066481$$