Solve 2/pi/frac{2{7}+3/11}

$$\frac { \frac { 2 } { \pi } } { \frac { 2 } { 7 } + \frac { 3 } { 11 } }$$

Evaluate

$$\frac{154}{43\pi }\approx 1.139993546$$

Solution Steps

Least common multiple of 7 and 11 is 77. Convert \frac{2}{7} and \frac{3}{11} to fractions with denominator 77.

$$\frac{\frac{2}{\pi }}{\frac{22}{77}+\frac{21}{77}}$$

Since \frac{22}{77} and \frac{21}{77} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2}{\pi }}{\frac{22+21}{77}}$$

Add 22 and 21 to get 43.

$$\frac{\frac{2}{\pi }}{\frac{43}{77}}$$

Divide \frac{2}{\pi } by \frac{43}{77} by multiplying \frac{2}{\pi } by the reciprocal of \frac{43}{77}.

$$\frac{2\times 77}{\pi \times 43}$$

Multiply 2 and 77 to get 154.

$$\frac{154}{\pi \times 43}$$