Solve 77777777/777/77/77

$$\frac{ \frac{ 77777 \frac { 777 } { 777 } }{ 77 } }{ 77 }$$

Evaluate

$$\frac{77778}{5929}\approx 13.118232417$$

Solution Steps

Express \frac{\frac{\frac{77777\times 777+777}{777}}{77}}{77} as a single fraction.

$$\frac{\frac{77777\times 777+777}{777}}{77\times 77}$$

Multiply 77777 and 777 to get 60432729.

$$\frac{\frac{60432729+777}{777}}{77\times 77}$$

Add 60432729 and 777 to get 60433506.

$$\frac{\frac{60433506}{777}}{77\times 77}$$

Divide 60433506 by 777 to get 77778.

$$\frac{77778}{77\times 77}$$

Multiply 77 and 77 to get 5929.

$$\frac{77778}{5929}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 29 \cdot 149}{7 ^ {2} \cdot 11 ^ {2}} = 13\frac{701}{5929} = 13.118232416933715$$