Solve 233/21div22/5

$$\frac{ 233 }{ 21 } \div 2 \frac { 2 } { 5 }$$

Evaluate

$$\frac{1165}{252}\approx 4.623015873$$

Solution Steps

Divide \frac{233}{21} by \frac{2\times 5+2}{5} by multiplying \frac{233}{21} by the reciprocal of \frac{2\times 5+2}{5}.

$$\frac{233\times 5}{21\left(2\times 5+2\right)}$$

Multiply 233 and 5 to get 1165.

$$\frac{1165}{21\left(2\times 5+2\right)}$$

Multiply 2 and 5 to get 10.

$$\frac{1165}{21\left(10+2\right)}$$

Add 10 and 2 to get 12.

$$\frac{1165}{21\times 12}$$

Multiply 21 and 12 to get 252.

$$\frac{1165}{252}$$

Factor

$$\frac{5 \cdot 233}{2 ^ {2} \cdot 3 ^ {2} \cdot 7} = 4\frac{157}{252} = 4.623015873015873$$