Solve 67/2div22/3=

$$6 \frac { 7 } { 2 } \div 2 \frac { 2 } { 3 } =$$

Evaluate

$$\frac{57}{16}=3.5625$$

Solution Steps

Divide \frac{6\times 2+7}{2} by \frac{2\times 3+2}{3} by multiplying \frac{6\times 2+7}{2} by the reciprocal of \frac{2\times 3+2}{3}.

$$\frac{\left(6\times 2+7\right)\times 3}{2\left(2\times 3+2\right)}$$

Multiply 6 and 2 to get 12.

$$\frac{\left(12+7\right)\times 3}{2\left(2\times 3+2\right)}$$

Add 12 and 7 to get 19.

$$\frac{19\times 3}{2\left(2\times 3+2\right)}$$

Multiply 19 and 3 to get 57.

$$\frac{57}{2\left(2\times 3+2\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{57}{2\left(6+2\right)}$$

Add 6 and 2 to get 8.

$$\frac{57}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$\frac{57}{16}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {4}} = 3\frac{9}{16} = 3.5625$$