Solve frac{frac{frac{78/12/55/88/5}{6}}{922}}{22}

$$\frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ 78 }{ 12 } }{ 55 } }{ 88 } }{ 5 } }{ 6 } }{ 922 } }{ 22 }$$

Evaluate

$$\frac{13}{5890473600}\approx 2.206953275 \cdot 10^{-9}$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{\frac{\frac{78}{12}}{55}}{88}}{5}}{6}}{922}}{22} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{78}{12}}{55}}{88}}{5}}{6}}{922\times 22}$$

Express \frac{\frac{\frac{\frac{\frac{78}{12}}{55}}{88}}{5}}{6} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{78}{12}}{55}}{88}}{5\times 6}}{922\times 22}$$

Express \frac{\frac{\frac{78}{12}}{55}}{88} as a single fraction.

$$\frac{\frac{\frac{\frac{78}{12}}{55\times 88}}{5\times 6}}{922\times 22}$$

Reduce the fraction \frac{78}{12} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{\frac{\frac{13}{2}}{55\times 88}}{5\times 6}}{922\times 22}$$

Multiply 55 and 88 to get 4840.

$$\frac{\frac{\frac{\frac{13}{2}}{4840}}{5\times 6}}{922\times 22}$$

Express \frac{\frac{13}{2}}{4840} as a single fraction.

$$\frac{\frac{\frac{13}{2\times 4840}}{5\times 6}}{922\times 22}$$

Multiply 2 and 4840 to get 9680.

$$\frac{\frac{\frac{13}{9680}}{5\times 6}}{922\times 22}$$

Multiply 5 and 6 to get 30.

$$\frac{\frac{\frac{13}{9680}}{30}}{922\times 22}$$

Express \frac{\frac{13}{9680}}{30} as a single fraction.

$$\frac{\frac{13}{9680\times 30}}{922\times 22}$$

Multiply 9680 and 30 to get 290400.

$$\frac{\frac{13}{290400}}{922\times 22}$$

Multiply 922 and 22 to get 20284.

$$\frac{\frac{13}{290400}}{20284}$$

Express \frac{\frac{13}{290400}}{20284} as a single fraction.

$$\frac{13}{290400\times 20284}$$

Multiply 290400 and 20284 to get 5890473600.

$$\frac{13}{5890473600}$$

Factor

$$\frac{13}{2 ^ {7} \cdot 3 \cdot 5 ^ {2} \cdot 11 ^ {3} \cdot 461} = 2.206953274521084 \times 10^{-9}$$