Solve 1/515.5*10^-7-1/532*10^-7

$$\frac{ 1 }{ 515.5 \times { 10 }^{ -7 } } - \frac{ 1 }{ 532 \times { 10 }^{ -7 } }$$

Evaluate

$$\frac{82500000}{137123}\approx 601.64961385$$

Solution Steps

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

$$\frac{1}{515.5\times \frac{1}{10000000}}-\frac{1}{532\times 10^{-7}}$$

Multiply 515.5 and \frac{1}{10000000} to get \frac{1031}{20000000}.

$$\frac{1}{\frac{1031}{20000000}}-\frac{1}{532\times 10^{-7}}$$

Divide 1 by \frac{1031}{20000000} by multiplying 1 by the reciprocal of \frac{1031}{20000000}.

$$1\times \frac{20000000}{1031}-\frac{1}{532\times 10^{-7}}$$

Multiply 1 and \frac{20000000}{1031} to get \frac{20000000}{1031}.

$$\frac{20000000}{1031}-\frac{1}{532\times 10^{-7}}$$

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

$$\frac{20000000}{1031}-\frac{1}{532\times \frac{1}{10000000}}$$

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

$$\frac{20000000}{1031}-\frac{1}{\frac{133}{2500000}}$$

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

$$\frac{20000000}{1031}-1\times \frac{2500000}{133}$$

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

$$\frac{20000000}{1031}-\frac{2500000}{133}$$

Subtract \frac{2500000}{133} from \frac{20000000}{1031} to get \frac{82500000}{137123}.

$$\frac{82500000}{137123}$$

Factor

$$\frac{3 \cdot 11 \cdot 2 ^ {5} \cdot 5 ^ {7}}{7 \cdot 19 \cdot 1031} = 601\frac{89077}{137123} = 601.6496138503387$$