Solve 71/3/3frac{2{3}}

$$\frac { 7 \frac { 1 } { 3 } } { 3 \frac { 2 } { 3 } }$$

Evaluate

$$2$$

Solution Steps

Divide \frac{7\times 3+1}{3} by \frac{3\times 3+2}{3} by multiplying \frac{7\times 3+1}{3} by the reciprocal of \frac{3\times 3+2}{3}.

$$\frac{\left(7\times 3+1\right)\times 3}{3\left(3\times 3+2\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1+3\times 7}{2+3\times 3}$$

Multiply 3 and 7 to get 21.

$$\frac{1+21}{2+3\times 3}$$

Add 1 and 21 to get 22.

$$\frac{22}{2+3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{22}{2+9}$$

Add 2 and 9 to get 11.

$$\frac{22}{11}$$

Divide 22 by 11 to get 2.

$$2$$

Factor

$$2$$