Solve 230^2/80+1{1/40+frac{1/40}}

$$\frac{ { 230 }^{ 2 } }{ 80+ \frac{ 1 }{ \frac{ 1 }{ 40 } + \frac{ 1 }{ 40 } } }$$

Evaluate

$$529$$

Solution Steps

Calculate 230 to the power of 2 and get 52900.

$$\frac{52900}{80+\frac{1}{\frac{1}{40}+\frac{1}{40}}}$$

Since \frac{1}{40} and \frac{1}{40} have the same denominator, add them by adding their numerators.

$$\frac{52900}{80+\frac{1}{\frac{1+1}{40}}}$$

Add 1 and 1 to get 2.

$$\frac{52900}{80+\frac{1}{\frac{2}{40}}}$$

Reduce the fraction \frac{2}{40} to lowest terms by extracting and canceling out 2.

$$\frac{52900}{80+\frac{1}{\frac{1}{20}}}$$

Divide 1 by \frac{1}{20} by multiplying 1 by the reciprocal of \frac{1}{20}.

$$\frac{52900}{80+1\times 20}$$

Multiply 1 and 20 to get 20.

$$\frac{52900}{80+20}$$

Add 80 and 20 to get 100.

$$\frac{52900}{100}$$

Divide 52900 by 100 to get 529.

$$529$$

Factor

$$23^{2}$$