Solve 1/541.3*10^-7-1/532*10^-7

$$\frac{ 1 }{ 541.3 \times { 10 }^{ -7 } } - \frac{ 1 }{ 532 \times { 10 }^{ -7 } }$$

Evaluate

$$-\frac{232500000}{719929}\approx -322.948512978$$

Solution Steps

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

$$\frac{1}{541.3\times \frac{1}{10000000}}-\frac{1}{532\times 10^{-7}}$$

Multiply 541.3 and \frac{1}{10000000} to get \frac{5413}{100000000}.

$$\frac{1}{\frac{5413}{100000000}}-\frac{1}{532\times 10^{-7}}$$

Divide 1 by \frac{5413}{100000000} by multiplying 1 by the reciprocal of \frac{5413}{100000000}.

$$1\times \frac{100000000}{5413}-\frac{1}{532\times 10^{-7}}$$

Multiply 1 and \frac{100000000}{5413} to get \frac{100000000}{5413}.

$$\frac{100000000}{5413}-\frac{1}{532\times 10^{-7}}$$

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

$$\frac{100000000}{5413}-\frac{1}{532\times \frac{1}{10000000}}$$

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

$$\frac{100000000}{5413}-\frac{1}{\frac{133}{2500000}}$$

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

$$\frac{100000000}{5413}-1\times \frac{2500000}{133}$$

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

$$\frac{100000000}{5413}-\frac{2500000}{133}$$

Subtract \frac{2500000}{133} from \frac{100000000}{5413} to get -\frac{232500000}{719929}.

$$-\frac{232500000}{719929}$$

Factor

$$-\frac{232500000}{719929} = -322\frac{682862}{719929} = -322.94851297836317$$