Solve 1/9+(5/9+21/3=

$$\frac { 1 } { 9 } + ( \frac { 5 } { 9 } + 2 \frac { 1 } { 3 } =$$

Evaluate

$$3$$

Solution Steps

Since \frac{1}{9} and \frac{5}{9} have the same denominator, add them by adding their numerators.

$$\frac{1+5}{9}+\frac{2\times 3+1}{3}$$

Add 1 and 5 to get 6.

$$\frac{6}{9}+\frac{2\times 3+1}{3}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

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

Multiply 2 and 3 to get 6.

$$\frac{2}{3}+\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{2}{3}+\frac{7}{3}$$

Since \frac{2}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{2+7}{3}$$

Add 2 and 7 to get 9.

$$\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$3$$

Factor

$$3$$