Solve 7%%%%%%%%%%%+3

$$7 \% \% \% \% \% \% \% \% \% \% \% +3$$

Evaluate

$$\frac{30000000000000000000007}{10000000000000000000000}=3$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{7}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{7}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100\times 100}+3$$

Express \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{7}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{7}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100\times 100}}{100\times 100}+3$$

Express \frac{\frac{\frac{\frac{\frac{\frac{\frac{7}{100}}{100}}{100}}{100}}{100}}{100}}{100} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{7}{100}}{100}}{100}}{100}}{100}}{100\times 100}}{100\times 100}}{100\times 100}+3$$

Express \frac{\frac{\frac{\frac{\frac{7}{100}}{100}}{100}}{100}}{100} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{7}{100}}{100}}{100}}{100\times 100}}{100\times 100}}{100\times 100}}{100\times 100}+3$$

Express \frac{\frac{\frac{7}{100}}{100}}{100} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{7}{100}}{100\times 100}}{100\times 100}}{100\times 100}}{100\times 100}}{100\times 100}+3$$

Multiply 100 and 100 to get 10000.

$$\frac{\frac{\frac{\frac{\frac{\frac{7}{100}}{10000}}{100\times 100}}{100\times 100}}{100\times 100}}{100\times 100}+3$$

Express \frac{\frac{7}{100}}{10000} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{7}{100\times 10000}}{100\times 100}}{100\times 100}}{100\times 100}}{100\times 100}+3$$

Multiply 100 and 10000 to get 1000000.

$$\frac{\frac{\frac{\frac{\frac{7}{1000000}}{100\times 100}}{100\times 100}}{100\times 100}}{100\times 100}+3$$

Multiply 100 and 100 to get 10000.

$$\frac{\frac{\frac{\frac{\frac{7}{1000000}}{10000}}{100\times 100}}{100\times 100}}{100\times 100}+3$$

Express \frac{\frac{7}{1000000}}{10000} as a single fraction.

$$\frac{\frac{\frac{\frac{7}{1000000\times 10000}}{100\times 100}}{100\times 100}}{100\times 100}+3$$

Multiply 1000000 and 10000 to get 10000000000.

$$\frac{\frac{\frac{\frac{7}{10000000000}}{100\times 100}}{100\times 100}}{100\times 100}+3$$

Multiply 100 and 100 to get 10000.

$$\frac{\frac{\frac{\frac{7}{10000000000}}{10000}}{100\times 100}}{100\times 100}+3$$

Express \frac{\frac{7}{10000000000}}{10000} as a single fraction.

$$\frac{\frac{\frac{7}{10000000000\times 10000}}{100\times 100}}{100\times 100}+3$$

Multiply 10000000000 and 10000 to get 100000000000000.

$$\frac{\frac{\frac{7}{100000000000000}}{100\times 100}}{100\times 100}+3$$

Multiply 100 and 100 to get 10000.

$$\frac{\frac{\frac{7}{100000000000000}}{10000}}{100\times 100}+3$$

Express \frac{\frac{7}{100000000000000}}{10000} as a single fraction.

$$\frac{\frac{7}{100000000000000\times 10000}}{100\times 100}+3$$

Multiply 100000000000000 and 10000 to get 1000000000000000000.

$$\frac{\frac{7}{1000000000000000000}}{100\times 100}+3$$

Multiply 100 and 100 to get 10000.

$$\frac{\frac{7}{1000000000000000000}}{10000}+3$$

Express \frac{\frac{7}{1000000000000000000}}{10000} as a single fraction.

$$\frac{7}{1000000000000000000\times 10000}+3$$

Multiply 1000000000000000000 and 10000 to get 10000000000000000000000.

$$\frac{7}{10000000000000000000000}+3$$

Convert 3 to fraction \frac{30000000000000000000000}{10000000000000000000000}.

$$\frac{7}{10000000000000000000000}+\frac{30000000000000000000000}{10000000000000000000000}$$

Since \frac{7}{10000000000000000000000} and \frac{30000000000000000000000}{10000000000000000000000} have the same denominator, add them by adding their numerators.

$$\frac{7+30000000000000000000000}{10000000000000000000000}$$

Add 7 and 30000000000000000000000 to get 30000000000000000000007.

$$\frac{30000000000000000000007}{10000000000000000000000}$$

Factor

$$\frac{17 \cdot 37 \cdot 4236946003 \cdot 11256870761}{2 ^ {22} \cdot 5 ^ {22}} = 3$$