Solve 0.1/100*1.05n=0.7

$$\frac { 0.1 } { 100 } \times 1.05 n = 0.7$$

Solve for n

$$n = \frac{2000}{3} = 666\frac{2}{3} \approx 666.666666667$$

Steps for Solving Linear Equation

Expand \frac{0.1}{100} by multiplying both numerator and the denominator by 10.

$$\frac{1}{1000}\times 1.05n=0.7$$

Convert decimal number 1.05 to fraction \frac{105}{100}. Reduce the fraction \frac{105}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{1000}\times \frac{21}{20}n=0.7$$

Multiply \frac{1}{1000} times \frac{21}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 21}{1000\times 20}n=0.7$$

Do the multiplications in the fraction \frac{1\times 21}{1000\times 20}.

$$\frac{21}{20000}n=0.7$$

Multiply both sides by \frac{20000}{21}, the reciprocal of \frac{21}{20000}.

$$n=0.7\times \frac{20000}{21}$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$n=\frac{7}{10}\times \frac{20000}{21}$$

Multiply \frac{7}{10} times \frac{20000}{21} by multiplying numerator times numerator and denominator times denominator.

$$n=\frac{7\times 20000}{10\times 21}$$

Do the multiplications in the fraction \frac{7\times 20000}{10\times 21}.

$$n=\frac{140000}{210}$$

Reduce the fraction \frac{140000}{210} to lowest terms by extracting and canceling out 70.

$$n=\frac{2000}{3}$$