Решете 491*10^19*16*10^-19/696

$$491 \cdot 10 ^ { 19 } \cdot \frac { 16 \cdot 10 ^ { - 19 } } { 696 }$$

Изчисляване

$$\frac{982}{87}\approx 11,287356322$$

Стъпки на решението

Изчислявате 19 на степен 10 и получавате 10000000000000000000.

$$491\times 10000000000000000000\times \frac{16\times 10^{-19}}{696}$$

Умножете 491 по 10000000000000000000, за да получите 4910000000000000000000.

$$4910000000000000000000\times \frac{16\times 10^{-19}}{696}$$

Изчислявате -19 на степен 10 и получавате \frac{1}{10000000000000000000}.

$$4910000000000000000000\times \frac{16\times \frac{1}{10000000000000000000}}{696}$$

Умножете 16 по \frac{1}{10000000000000000000}, за да получите \frac{1}{625000000000000000}.

$$4910000000000000000000\times \frac{\frac{1}{625000000000000000}}{696}$$

Изразете \frac{\frac{1}{625000000000000000}}{696} като една дроб.

$$4910000000000000000000\times \frac{1}{625000000000000000\times 696}$$

Умножете 625000000000000000 по 696, за да получите 435000000000000000000.

$$4910000000000000000000\times \frac{1}{435000000000000000000}$$

Умножете 4910000000000000000000 по \frac{1}{435000000000000000000}, за да получите \frac{982}{87}.

$$\frac{982}{87}$$

Разлагане на множители

$$\frac{2 \cdot 491}{3 \cdot 29} = 11\frac{25}{87} = 11,28735632183908$$