Solve 913left(478*24-399*12right)/490*423*877*36

$$\frac{ 913 \left( 478 \cdot 24-399 \cdot 12 \right) }{ 490 \cdot 423 \cdot 877 \cdot 36 }$$

Evaluate

$$\frac{508541}{545327370}\approx 0.000932543$$

Solution Steps

Multiply 478 and 24 to get 11472.

$$\frac{913\left(11472-399\times 12\right)}{490\times 423\times 877\times 36}$$

Multiply 399 and 12 to get 4788.

$$\frac{913\left(11472-4788\right)}{490\times 423\times 877\times 36}$$

Subtract 4788 from 11472 to get 6684.

$$\frac{913\times 6684}{490\times 423\times 877\times 36}$$

Multiply 913 and 6684 to get 6102492.

$$\frac{6102492}{490\times 423\times 877\times 36}$$

Multiply 490 and 423 to get 207270.

$$\frac{6102492}{207270\times 877\times 36}$$

Multiply 207270 and 877 to get 181775790.

$$\frac{6102492}{181775790\times 36}$$

Multiply 181775790 and 36 to get 6543928440.

$$\frac{6102492}{6543928440}$$

Reduce the fraction \frac{6102492}{6543928440} to lowest terms by extracting and canceling out 12.

$$\frac{508541}{545327370}$$

Factor

$$\frac{11 \cdot 83 \cdot 557}{2 \cdot 3 ^ {3} \cdot 5 \cdot 7 ^ {2} \cdot 47 \cdot 877} = 0.0009325425936350856$$