Solve 21/2div21/3=

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

Evaluate

$$\frac{15}{14}\approx 1.071428571$$

Solution Steps

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

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

Multiply 2 and 2 to get 4.

$$\frac{\left(4+1\right)\times 3}{2\left(2\times 3+1\right)}$$

Add 4 and 1 to get 5.

$$\frac{5\times 3}{2\left(2\times 3+1\right)}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{2\left(2\times 3+1\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{15}{2\left(6+1\right)}$$

Add 6 and 1 to get 7.

$$\frac{15}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{15}{14}$$

Factor

$$\frac{3 \cdot 5}{2 \cdot 7} = 1\frac{1}{14} = 1.0714285714285714$$