Solve 93(478*24-399*12)/490*423*817*36

$$\frac { 93 ( 478 \times 24 - 399 \times 12 ) } { 490 \times 423 \times 817 \times 36 }$$

Evaluate

$$\frac{17267}{169339590}\approx 0.000101967$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{31\left(24\times 478-12\times 399\right)}{36\times 141\times 490\times 817}$$

Multiply 24 and 478 to get 11472.

$$\frac{31\left(11472-12\times 399\right)}{36\times 141\times 490\times 817}$$

Multiply 12 and 399 to get 4788.

$$\frac{31\left(11472-4788\right)}{36\times 141\times 490\times 817}$$

Subtract 4788 from 11472 to get 6684.

$$\frac{31\times 6684}{36\times 141\times 490\times 817}$$

Multiply 31 and 6684 to get 207204.

$$\frac{207204}{36\times 141\times 490\times 817}$$

Multiply 36 and 141 to get 5076.

$$\frac{207204}{5076\times 490\times 817}$$

Multiply 5076 and 490 to get 2487240.

$$\frac{207204}{2487240\times 817}$$

Multiply 2487240 and 817 to get 2032075080.

$$\frac{207204}{2032075080}$$

Reduce the fraction \frac{207204}{2032075080} to lowest terms by extracting and canceling out 12.

$$\frac{17267}{169339590}$$

Factor

$$\frac{31 \cdot 557}{2 \cdot 3 ^ {2} \cdot 5 \cdot 7 ^ {2} \cdot 19 \cdot 43 \cdot 47} = 0.00010196670489163225$$