Solve (73/39)^2+1/frac{13{39}*2+1}

$$\frac { ( \frac { 73 } { 39 } ) ^ { 2 } + 1 } { \frac { 13 } { 39 } \times 2 + 1 }$$

Evaluate

$$\frac{1370}{507}\approx 2.702169625$$

Solution Steps

Calculate \frac{73}{39} to the power of 2 and get \frac{5329}{1521}.

$$\frac{\frac{5329}{1521}+1}{\frac{13}{39}\times 2+1}$$

Convert 1 to fraction \frac{1521}{1521}.

$$\frac{\frac{5329}{1521}+\frac{1521}{1521}}{\frac{13}{39}\times 2+1}$$

Since \frac{5329}{1521} and \frac{1521}{1521} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5329+1521}{1521}}{\frac{13}{39}\times 2+1}$$

Add 5329 and 1521 to get 6850.

$$\frac{\frac{6850}{1521}}{\frac{13}{39}\times 2+1}$$

Reduce the fraction \frac{13}{39} to lowest terms by extracting and canceling out 13.

$$\frac{\frac{6850}{1521}}{\frac{1}{3}\times 2+1}$$

Multiply \frac{1}{3} and 2 to get \frac{2}{3}.

$$\frac{\frac{6850}{1521}}{\frac{2}{3}+1}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{\frac{6850}{1521}}{\frac{2}{3}+\frac{3}{3}}$$

Since \frac{2}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{6850}{1521}}{\frac{2+3}{3}}$$

Add 2 and 3 to get 5.

$$\frac{\frac{6850}{1521}}{\frac{5}{3}}$$

Divide \frac{6850}{1521} by \frac{5}{3} by multiplying \frac{6850}{1521} by the reciprocal of \frac{5}{3}.

$$\frac{6850}{1521}\times \frac{3}{5}$$

Multiply \frac{6850}{1521} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6850\times 3}{1521\times 5}$$

Do the multiplications in the fraction \frac{6850\times 3}{1521\times 5}.

$$\frac{20550}{7605}$$

Reduce the fraction \frac{20550}{7605} to lowest terms by extracting and canceling out 15.

$$\frac{1370}{507}$$

Factor

$$\frac{2 \cdot 5 \cdot 137}{3 \cdot 13 ^ {2}} = 2\frac{356}{507} = 2.7021696252465484$$