Solve 11/3div31/2=

$$1 \frac { 1 } { 3 } \div 3 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{8}{21}\approx 0.380952381$$

Solution Steps

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

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

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

$$\frac{4\times 2}{3\left(3\times 2+1\right)}$$

Multiply 4 and 2 to get 8.

$$\frac{8}{3\left(3\times 2+1\right)}$$

Multiply 3 and 2 to get 6.

$$\frac{8}{3\left(6+1\right)}$$

Add 6 and 1 to get 7.

$$\frac{8}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$\frac{8}{21}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 7} = 0.38095238095238093$$