Solve 61/2div22/3

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

Evaluate

$$\frac{39}{16}=2.4375$$

Solution Steps

Divide \frac{6\times 2+1}{2} by \frac{2\times 3+2}{3} by multiplying \frac{6\times 2+1}{2} by the reciprocal of \frac{2\times 3+2}{3}.

$$\frac{\left(6\times 2+1\right)\times 3}{2\left(2\times 3+2\right)}$$

Multiply 6 and 2 to get 12.

$$\frac{\left(12+1\right)\times 3}{2\left(2\times 3+2\right)}$$

Add 12 and 1 to get 13.

$$\frac{13\times 3}{2\left(2\times 3+2\right)}$$

Multiply 13 and 3 to get 39.

$$\frac{39}{2\left(2\times 3+2\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{39}{2\left(6+2\right)}$$

Add 6 and 2 to get 8.

$$\frac{39}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$\frac{39}{16}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {4}} = 2\frac{7}{16} = 2.4375$$