Solve 31/2div21/9

$$3 \frac { 1 } { 2 } \div 2 \frac { 1 } { 9 }$$

Evaluate

$$\frac{63}{38}\approx 1.657894737$$

Solution Steps

Divide \frac{3\times 2+1}{2} by \frac{2\times 9+1}{9} by multiplying \frac{3\times 2+1}{2} by the reciprocal of \frac{2\times 9+1}{9}.

$$\frac{\left(3\times 2+1\right)\times 9}{2\left(2\times 9+1\right)}$$

Multiply 3 and 2 to get 6.

$$\frac{\left(6+1\right)\times 9}{2\left(2\times 9+1\right)}$$

Add 6 and 1 to get 7.

$$\frac{7\times 9}{2\left(2\times 9+1\right)}$$

Multiply 7 and 9 to get 63.

$$\frac{63}{2\left(2\times 9+1\right)}$$

Multiply 2 and 9 to get 18.

$$\frac{63}{2\left(18+1\right)}$$

Add 18 and 1 to get 19.

$$\frac{63}{2\times 19}$$

Multiply 2 and 19 to get 38.

$$\frac{63}{38}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{2 \cdot 19} = 1\frac{25}{38} = 1.6578947368421053$$