Solve 100/1+(12*10^-6)-100/1+(22*10^-6)=5

$$\frac{ 100 }{ 1+(12 \times { 10 }^{ -6 } ) } - \frac{ 100 }{ 1+(22 \times { 10 }^{ -6 } ) } =5$$

Verify

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{100}{1+12\times \frac{1}{1000000}}-\frac{100}{1+22\times 10^{-6}}=5$$

Multiply 12 and \frac{1}{1000000} to get \frac{3}{250000}.

$$\frac{100}{1+\frac{3}{250000}}-\frac{100}{1+22\times 10^{-6}}=5$$

Add 1 and \frac{3}{250000} to get \frac{250003}{250000}.

$$\frac{100}{\frac{250003}{250000}}-\frac{100}{1+22\times 10^{-6}}=5$$

Divide 100 by \frac{250003}{250000} by multiplying 100 by the reciprocal of \frac{250003}{250000}.

$$100\times \frac{250000}{250003}-\frac{100}{1+22\times 10^{-6}}=5$$

Multiply 100 and \frac{250000}{250003} to get \frac{25000000}{250003}.

$$\frac{25000000}{250003}-\frac{100}{1+22\times 10^{-6}}=5$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{25000000}{250003}-\frac{100}{1+22\times \frac{1}{1000000}}=5$$

Multiply 22 and \frac{1}{1000000} to get \frac{11}{500000}.

$$\frac{25000000}{250003}-\frac{100}{1+\frac{11}{500000}}=5$$

Add 1 and \frac{11}{500000} to get \frac{500011}{500000}.

$$\frac{25000000}{250003}-\frac{100}{\frac{500011}{500000}}=5$$

Divide 100 by \frac{500011}{500000} by multiplying 100 by the reciprocal of \frac{500011}{500000}.

$$\frac{25000000}{250003}-100\times \frac{500000}{500011}=5$$

Multiply 100 and \frac{500000}{500011} to get \frac{50000000}{500011}.

$$\frac{25000000}{250003}-\frac{50000000}{500011}=5$$

Subtract \frac{50000000}{500011} from \frac{25000000}{250003} to get \frac{125000000}{125004250033}.

$$\frac{125000000}{125004250033}=5$$

Convert 5 to fraction \frac{625021250165}{125004250033}.

$$\frac{125000000}{125004250033}=\frac{625021250165}{125004250033}$$

Compare \frac{125000000}{125004250033} and \frac{625021250165}{125004250033}.

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