Solve 50/1+frac{2{3}}

$$\frac{ 50 }{ 1+ \frac{ 2 }{ 3 } }$$

Evaluate

$$30$$

Solution Steps

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

$$\frac{50}{\frac{3}{3}+\frac{2}{3}}$$

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

$$\frac{50}{\frac{3+2}{3}}$$

Add 3 and 2 to get 5.

$$\frac{50}{\frac{5}{3}}$$

Divide 50 by \frac{5}{3} by multiplying 50 by the reciprocal of \frac{5}{3}.

$$50\times \frac{3}{5}$$

Express 50\times \frac{3}{5} as a single fraction.

$$\frac{50\times 3}{5}$$

Multiply 50 and 3 to get 150.

$$\frac{150}{5}$$

Divide 150 by 5 to get 30.

$$30$$

Factor

$$2\times 3\times 5$$