Solve 16/frac{2{3}+5}

$$\frac { 16 } { \frac { 2 } { 3 } + 5 }$$

Evaluate

$$\frac{48}{17}\approx 2.823529412$$

Solution Steps

Convert 5 to fraction \frac{15}{3}.

$$\frac{16}{\frac{2}{3}+\frac{15}{3}}$$

Since \frac{2}{3} and \frac{15}{3} have the same denominator, add them by adding their numerators.

$$\frac{16}{\frac{2+15}{3}}$$

Add 2 and 15 to get 17.

$$\frac{16}{\frac{17}{3}}$$

Divide 16 by \frac{17}{3} by multiplying 16 by the reciprocal of \frac{17}{3}.

$$16\times \frac{3}{17}$$

Express 16\times \frac{3}{17} as a single fraction.

$$\frac{16\times 3}{17}$$

Multiply 16 and 3 to get 48.

$$\frac{48}{17}$$

Factor

$$\frac{2 ^ {4} \cdot 3}{17} = 2\frac{14}{17} = 2.823529411764706$$