Solve 21/5div31/2=

$$2 \frac { 1 } { 5 } \div 3 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{22}{35}\approx 0.628571429$$

Solution Steps

Divide \frac{2\times 5+1}{5} by \frac{3\times 2+1}{2} by multiplying \frac{2\times 5+1}{5} by the reciprocal of \frac{3\times 2+1}{2}.

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

Multiply 2 and 5 to get 10.

$$\frac{\left(10+1\right)\times 2}{5\left(3\times 2+1\right)}$$

Add 10 and 1 to get 11.

$$\frac{11\times 2}{5\left(3\times 2+1\right)}$$

Multiply 11 and 2 to get 22.

$$\frac{22}{5\left(3\times 2+1\right)}$$

Multiply 3 and 2 to get 6.

$$\frac{22}{5\left(6+1\right)}$$

Add 6 and 1 to get 7.

$$\frac{22}{5\times 7}$$

Multiply 5 and 7 to get 35.

$$\frac{22}{35}$$

Factor

$$\frac{2 \cdot 11}{5 \cdot 7} = 0.6285714285714286$$