Solve 2*1/3+2-1/frac{1{3}}

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

Evaluate

$$5$$

Solution Steps

Multiply 2 and \frac{1}{3} to get \frac{2}{3}.

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

Convert 2 to fraction \frac{6}{3}.

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

Since \frac{2}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

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

Add 2 and 6 to get 8.

$$\frac{\frac{8}{3}-1}{\frac{1}{3}}$$

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

$$\frac{\frac{8}{3}-\frac{3}{3}}{\frac{1}{3}}$$

Since \frac{8}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{8-3}{3}}{\frac{1}{3}}$$

Subtract 3 from 8 to get 5.

$$\frac{\frac{5}{3}}{\frac{1}{3}}$$

Divide \frac{5}{3} by \frac{1}{3} by multiplying \frac{5}{3} by the reciprocal of \frac{1}{3}.

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

Cancel out 3 and 3.

$$5$$

Factor

$$5$$