Solve 31/2div11/3=

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

Evaluate

$$\frac{21}{8}=2.625$$

Solution Steps

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

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

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

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

Multiply 7 and 3 to get 21.

$$\frac{21}{2\left(1\times 3+1\right)}$$

Multiply 1 and 3 to get 3.

$$\frac{21}{2\left(3+1\right)}$$

Add 3 and 1 to get 4.

$$\frac{21}{2\times 4}$$

Multiply 2 and 4 to get 8.

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

Factor

$$\frac{3 \cdot 7}{2 ^ {3}} = 2\frac{5}{8} = 2.625$$