Solve 464/664*21*15%div794/33

$$\frac{ 464 }{ 664 \times 21 } \times 15 \% \div \frac{ 794 }{ 33 }$$

Evaluate

$$\frac{957}{4613140}\approx 0.000207451$$

Solution Steps

Multiply 664 and 21 to get 13944.

$$\frac{\frac{464}{13944}\times \frac{15}{100}}{\frac{794}{33}}$$

Reduce the fraction \frac{464}{13944} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{58}{1743}\times \frac{15}{100}}{\frac{794}{33}}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{58}{1743}\times \frac{3}{20}}{\frac{794}{33}}$$

Multiply \frac{58}{1743} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{58\times 3}{1743\times 20}}{\frac{794}{33}}$$

Do the multiplications in the fraction \frac{58\times 3}{1743\times 20}.

$$\frac{\frac{174}{34860}}{\frac{794}{33}}$$

Reduce the fraction \frac{174}{34860} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{29}{5810}}{\frac{794}{33}}$$

Divide \frac{29}{5810} by \frac{794}{33} by multiplying \frac{29}{5810} by the reciprocal of \frac{794}{33}.

$$\frac{29}{5810}\times \frac{33}{794}$$

Multiply \frac{29}{5810} times \frac{33}{794} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29\times 33}{5810\times 794}$$

Do the multiplications in the fraction \frac{29\times 33}{5810\times 794}.

$$\frac{957}{4613140}$$

Factor

$$\frac{3 \cdot 11 \cdot 29}{2 ^ {2} \cdot 5 \cdot 7 \cdot 83 \cdot 397} = 0.0002074508902829743$$