Solve 3+10/11/1+frac{5{17}}

$$\frac { 3 + \frac { 10 } { 11 } } { 1 + \frac { 5 } { 17 } }$$

Evaluate

$$\frac{731}{242}\approx 3.020661157$$

Solution Steps

Convert 3 to fraction \frac{33}{11}.

$$\frac{\frac{33}{11}+\frac{10}{11}}{1+\frac{5}{17}}$$

Since \frac{33}{11} and \frac{10}{11} have the same denominator, add them by adding their numerators.

$$\frac{\frac{33+10}{11}}{1+\frac{5}{17}}$$

Add 33 and 10 to get 43.

$$\frac{\frac{43}{11}}{1+\frac{5}{17}}$$

Convert 1 to fraction \frac{17}{17}.

$$\frac{\frac{43}{11}}{\frac{17}{17}+\frac{5}{17}}$$

Since \frac{17}{17} and \frac{5}{17} have the same denominator, add them by adding their numerators.

$$\frac{\frac{43}{11}}{\frac{17+5}{17}}$$

Add 17 and 5 to get 22.

$$\frac{\frac{43}{11}}{\frac{22}{17}}$$

Divide \frac{43}{11} by \frac{22}{17} by multiplying \frac{43}{11} by the reciprocal of \frac{22}{17}.

$$\frac{43}{11}\times \frac{17}{22}$$

Multiply \frac{43}{11} times \frac{17}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{43\times 17}{11\times 22}$$

Do the multiplications in the fraction \frac{43\times 17}{11\times 22}.

$$\frac{731}{242}$$

Factor

$$\frac{17 \cdot 43}{2 \cdot 11 ^ {2}} = 3\frac{5}{242} = 3.020661157024793$$