Solve 101/2div12/3

$$10 \frac { 1 } { 2 } \div 1 \frac { 2 } { 3 }$$

Evaluate

$$\frac{63}{10}=6.3$$

Solution Steps

Divide \frac{10\times 2+1}{2} by \frac{1\times 3+2}{3} by multiplying \frac{10\times 2+1}{2} by the reciprocal of \frac{1\times 3+2}{3}.

$$\frac{\left(10\times 2+1\right)\times 3}{2\left(1\times 3+2\right)}$$

Multiply 10 and 2 to get 20.

$$\frac{\left(20+1\right)\times 3}{2\left(1\times 3+2\right)}$$

Add 20 and 1 to get 21.

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

Multiply 21 and 3 to get 63.

$$\frac{63}{2\left(1\times 3+2\right)}$$

Multiply 1 and 3 to get 3.

$$\frac{63}{2\left(3+2\right)}$$

Add 3 and 2 to get 5.

$$\frac{63}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{63}{10}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{2 \cdot 5} = 6\frac{3}{10} = 6.3$$