Solve 200+5/3/3+100

$$\frac { 200 + \frac { 5 } { 3 } } { 3 } + 100$$

Evaluate

$$\frac{1505}{9}\approx 167.222222222$$

Solution Steps

Convert 200 to fraction \frac{600}{3}.

$$\frac{\frac{600}{3}+\frac{5}{3}}{3}+100$$

Since \frac{600}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{600+5}{3}}{3}+100$$

Add 600 and 5 to get 605.

$$\frac{\frac{605}{3}}{3}+100$$

Express \frac{\frac{605}{3}}{3} as a single fraction.

$$\frac{605}{3\times 3}+100$$

Multiply 3 and 3 to get 9.

$$\frac{605}{9}+100$$

Convert 100 to fraction \frac{900}{9}.

$$\frac{605}{9}+\frac{900}{9}$$

Since \frac{605}{9} and \frac{900}{9} have the same denominator, add them by adding their numerators.

$$\frac{605+900}{9}$$

Add 605 and 900 to get 1505.

$$\frac{1505}{9}$$

Factor

$$\frac{5 \cdot 7 \cdot 43}{3 ^ {2}} = 167\frac{2}{9} = 167.22222222222223$$