Solve 7%8%8%9%5%1/699999999%%%20

$$7 \% 8 \% 8 \% 9 \% 5 \% \frac{ 1 }{ 699999999 \% \% \% 20 }$$

Evaluate

$$\frac{21}{145833333125}\approx 1.440000002 \cdot 10^{-10}$$

Solution Steps

Multiply \frac{8}{100} and \frac{8}{100} to get \left(\frac{8}{100}\right)^{2}.

$$\frac{7}{100}\times \left(\frac{8}{100}\right)^{2}\times \frac{9}{100}\times \frac{5}{100}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{7}{100}\times \left(\frac{2}{25}\right)^{2}\times \frac{9}{100}\times \frac{5}{100}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Calculate \frac{2}{25} to the power of 2 and get \frac{4}{625}.

$$\frac{7}{100}\times \frac{4}{625}\times \frac{9}{100}\times \frac{5}{100}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Multiply \frac{7}{100} times \frac{4}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{100\times 625}\times \frac{9}{100}\times \frac{5}{100}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Do the multiplications in the fraction \frac{7\times 4}{100\times 625}.

$$\frac{28}{62500}\times \frac{9}{100}\times \frac{5}{100}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Reduce the fraction \frac{28}{62500} to lowest terms by extracting and canceling out 4.

$$\frac{7}{15625}\times \frac{9}{100}\times \frac{5}{100}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Multiply \frac{7}{15625} times \frac{9}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 9}{15625\times 100}\times \frac{5}{100}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Do the multiplications in the fraction \frac{7\times 9}{15625\times 100}.

$$\frac{63}{1562500}\times \frac{5}{100}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{63}{1562500}\times \frac{1}{20}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Multiply \frac{63}{1562500} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{63\times 1}{1562500\times 20}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Do the multiplications in the fraction \frac{63\times 1}{1562500\times 20}.

$$\frac{63}{31250000}\times \frac{1}{\frac{\frac{\frac{699999999}{100}}{100}}{100}\times 20}$$

Express \frac{\frac{\frac{699999999}{100}}{100}}{100} as a single fraction.

$$\frac{63}{31250000}\times \frac{1}{\frac{\frac{699999999}{100}}{100\times 100}\times 20}$$

Multiply 100 and 100 to get 10000.

$$\frac{63}{31250000}\times \frac{1}{\frac{\frac{699999999}{100}}{10000}\times 20}$$

Express \frac{\frac{699999999}{100}}{10000} as a single fraction.

$$\frac{63}{31250000}\times \frac{1}{\frac{699999999}{100\times 10000}\times 20}$$

Multiply 100 and 10000 to get 1000000.

$$\frac{63}{31250000}\times \frac{1}{\frac{699999999}{1000000}\times 20}$$

Express \frac{699999999}{1000000}\times 20 as a single fraction.

$$\frac{63}{31250000}\times \frac{1}{\frac{699999999\times 20}{1000000}}$$

Multiply 699999999 and 20 to get 13999999980.

$$\frac{63}{31250000}\times \frac{1}{\frac{13999999980}{1000000}}$$

Reduce the fraction \frac{13999999980}{1000000} to lowest terms by extracting and canceling out 20.

$$\frac{63}{31250000}\times \frac{1}{\frac{699999999}{50000}}$$

Divide 1 by \frac{699999999}{50000} by multiplying 1 by the reciprocal of \frac{699999999}{50000}.

$$\frac{63}{31250000}\times 1\times \frac{50000}{699999999}$$

Multiply 1 and \frac{50000}{699999999} to get \frac{50000}{699999999}.

$$\frac{63}{31250000}\times \frac{50000}{699999999}$$

Multiply \frac{63}{31250000} times \frac{50000}{699999999} by multiplying numerator times numerator and denominator times denominator.

$$\frac{63\times 50000}{31250000\times 699999999}$$

Do the multiplications in the fraction \frac{63\times 50000}{31250000\times 699999999}.

$$\frac{3150000}{21874999968750000}$$

Reduce the fraction \frac{3150000}{21874999968750000} to lowest terms by extracting and canceling out 150000.

$$\frac{21}{145833333125}$$

Factor

$$\frac{3 \cdot 7}{5 ^ {4} \cdot 29 \cdot 47 \cdot 193 \cdot 887} = 1.4400000020571428 \times 10^{-10}$$