Solve 2/11*1111828362/7308711-201661268/7308711

$$\frac{ 2 }{ 11 } \times 111 \frac{ 1828362 }{ 7308711 } - 20 \frac { 1661268 } { 7308711 }$$

Evaluate

$$\frac{2}{812079}\approx 0.000002463$$

Solution Steps

Multiply 111 and 7308711 to get 811266921.

$$\frac{2}{11}\times \frac{811266921+1828362}{7308711}-\frac{20\times 7308711+1661268}{7308711}$$

Add 811266921 and 1828362 to get 813095283.

$$\frac{2}{11}\times \frac{813095283}{7308711}-\frac{20\times 7308711+1661268}{7308711}$$

Reduce the fraction \frac{813095283}{7308711} to lowest terms by extracting and canceling out 3.

$$\frac{2}{11}\times \frac{271031761}{2436237}-\frac{20\times 7308711+1661268}{7308711}$$

Multiply \frac{2}{11} times \frac{271031761}{2436237} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 271031761}{11\times 2436237}-\frac{20\times 7308711+1661268}{7308711}$$

Do the multiplications in the fraction \frac{2\times 271031761}{11\times 2436237}.

$$\frac{542063522}{26798607}-\frac{20\times 7308711+1661268}{7308711}$$

Reduce the fraction \frac{542063522}{26798607} to lowest terms by extracting and canceling out 11.

$$\frac{49278502}{2436237}-\frac{20\times 7308711+1661268}{7308711}$$

Multiply 20 and 7308711 to get 146174220.

$$\frac{49278502}{2436237}-\frac{146174220+1661268}{7308711}$$

Add 146174220 and 1661268 to get 147835488.

$$\frac{49278502}{2436237}-\frac{147835488}{7308711}$$

Reduce the fraction \frac{147835488}{7308711} to lowest terms by extracting and canceling out 3.

$$\frac{49278502}{2436237}-\frac{49278496}{2436237}$$

Since \frac{49278502}{2436237} and \frac{49278496}{2436237} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49278502-49278496}{2436237}$$

Subtract 49278496 from 49278502 to get 6.

$$\frac{6}{2436237}$$

Reduce the fraction \frac{6}{2436237} to lowest terms by extracting and canceling out 3.

$$\frac{2}{812079}$$

Factor

$$\frac{2}{3 ^ {3} \cdot 19 \cdot 1583} = 2.4628145783846156 \times 10^{-6}$$