Solve 21/2div45/7=

$$2 \frac { 1 } { 2 } \div 4 \frac { 5 } { 7 } =$$

Evaluate

$$\frac{35}{66}\approx 0.53030303$$

Solution Steps

Divide \frac{2\times 2+1}{2} by \frac{4\times 7+5}{7} by multiplying \frac{2\times 2+1}{2} by the reciprocal of \frac{4\times 7+5}{7}.

$$\frac{\left(2\times 2+1\right)\times 7}{2\left(4\times 7+5\right)}$$

Multiply 2 and 2 to get 4.

$$\frac{\left(4+1\right)\times 7}{2\left(4\times 7+5\right)}$$

Add 4 and 1 to get 5.

$$\frac{5\times 7}{2\left(4\times 7+5\right)}$$

Multiply 5 and 7 to get 35.

$$\frac{35}{2\left(4\times 7+5\right)}$$

Multiply 4 and 7 to get 28.

$$\frac{35}{2\left(28+5\right)}$$

Add 28 and 5 to get 33.

$$\frac{35}{2\times 33}$$

Multiply 2 and 33 to get 66.

$$\frac{35}{66}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3 \cdot 11} = 0.5303030303030303$$