Solve 1/529.4*10^-7-1/532*10^-7

$$\frac{ 1 }{ 529.4 \times { 10 }^{ -7 } } - \frac{ 1 }{ 532 \times { 10 }^{ -7 } }$$

Evaluate

$$\frac{32500000}{352051}\approx 92.3161701$$

Solution Steps

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{1}{529.4\times \frac{1}{10000000}}-\frac{1}{532\times 10^{-7}}$$

Multiply 529.4 and \frac{1}{10000000} to get \frac{2647}{50000000}.

$$\frac{1}{\frac{2647}{50000000}}-\frac{1}{532\times 10^{-7}}$$

Divide 1 by \frac{2647}{50000000} by multiplying 1 by the reciprocal of \frac{2647}{50000000}.

$$1\times \frac{50000000}{2647}-\frac{1}{532\times 10^{-7}}$$

Multiply 1 and \frac{50000000}{2647} to get \frac{50000000}{2647}.

$$\frac{50000000}{2647}-\frac{1}{532\times 10^{-7}}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{50000000}{2647}-\frac{1}{532\times \frac{1}{10000000}}$$

Multiply 532 and \frac{1}{10000000} to get \frac{133}{2500000}.

$$\frac{50000000}{2647}-\frac{1}{\frac{133}{2500000}}$$

Divide 1 by \frac{133}{2500000} by multiplying 1 by the reciprocal of \frac{133}{2500000}.

$$\frac{50000000}{2647}-1\times \frac{2500000}{133}$$

Multiply 1 and \frac{2500000}{133} to get \frac{2500000}{133}.

$$\frac{50000000}{2647}-\frac{2500000}{133}$$

Subtract \frac{2500000}{133} from \frac{50000000}{2647} to get \frac{32500000}{352051}.

$$\frac{32500000}{352051}$$

Factor

$$\frac{13 \cdot 2 ^ {5} \cdot 5 ^ {7}}{7 \cdot 19 \cdot 2647} = 92\frac{111308}{352051} = 92.31617010035478$$