Solve 1/554.5*10^-7-1/532*10^-7

$$\frac{ 1 }{ 554.5 \times { 10 }^{ -7 } } - \frac{ 1 }{ 532 \times { 10 }^{ -7 } }$$

Evaluate

$$-\frac{112500000}{147497}\approx -762.727377506$$

Solution Steps

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

$$\frac{1}{554.5\times \frac{1}{10000000}}-\frac{1}{532\times 10^{-7}}$$

Multiply 554.5 and \frac{1}{10000000} to get \frac{1109}{20000000}.

$$\frac{1}{\frac{1109}{20000000}}-\frac{1}{532\times 10^{-7}}$$

Divide 1 by \frac{1109}{20000000} by multiplying 1 by the reciprocal of \frac{1109}{20000000}.

$$1\times \frac{20000000}{1109}-\frac{1}{532\times 10^{-7}}$$

Multiply 1 and \frac{20000000}{1109} to get \frac{20000000}{1109}.

$$\frac{20000000}{1109}-\frac{1}{532\times 10^{-7}}$$

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

$$\frac{20000000}{1109}-\frac{1}{532\times \frac{1}{10000000}}$$

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

$$\frac{20000000}{1109}-\frac{1}{\frac{133}{2500000}}$$

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

$$\frac{20000000}{1109}-1\times \frac{2500000}{133}$$

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

$$\frac{20000000}{1109}-\frac{2500000}{133}$$

Subtract \frac{2500000}{133} from \frac{20000000}{1109} to get -\frac{112500000}{147497}.

$$-\frac{112500000}{147497}$$

Factor

$$-\frac{112500000}{147497} = -762\frac{107286}{147497} = -762.7273775059832$$