Solve 2/9+1/3div1/9

$$\frac { 2 } { 9 } + \frac { 1 } { 3 } \div \frac { 1 } { 9 }$$

Evaluate

$$\frac{29}{9}\approx 3.222222222$$

Solution Steps

Divide \frac{1}{3} by \frac{1}{9} by multiplying \frac{1}{3} by the reciprocal of \frac{1}{9}.

$$\frac{2}{9}+\frac{1}{3}\times 9$$

Multiply \frac{1}{3} and 9 to get \frac{9}{3}.

$$\frac{2}{9}+\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$\frac{2}{9}+3$$

Convert 3 to fraction \frac{27}{9}.

$$\frac{2}{9}+\frac{27}{9}$$

Since \frac{2}{9} and \frac{27}{9} have the same denominator, add them by adding their numerators.

$$\frac{2+27}{9}$$

Add 2 and 27 to get 29.

$$\frac{29}{9}$$

Factor

$$\frac{29}{3 ^ {2}} = 3\frac{2}{9} = 3.2222222222222223$$