Solve 12557/1-17.0%div538/1+1.1%

$$1 \frac { 2557 } { 1 - 17.0 \% } \div \frac { 538 } { 1 + 1.1 \% }$$

Evaluate

$$\frac{2585127}{446540}\approx 5.789239486$$

Solution Steps

Convert 1 to fraction \frac{100}{100}.

$$\frac{1\times \frac{2557}{\frac{100}{100}-\frac{17}{100}}}{\frac{538}{1+\frac{1.1}{100}}}$$

Since \frac{100}{100} and \frac{17}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1\times \frac{2557}{\frac{100-17}{100}}}{\frac{538}{1+\frac{1.1}{100}}}$$

Subtract 17 from 100 to get 83.

$$\frac{1\times \frac{2557}{\frac{83}{100}}}{\frac{538}{1+\frac{1.1}{100}}}$$

Divide 2557 by \frac{83}{100} by multiplying 2557 by the reciprocal of \frac{83}{100}.

$$\frac{1\times 2557\times \frac{100}{83}}{\frac{538}{1+\frac{1.1}{100}}}$$

Express 2557\times \frac{100}{83} as a single fraction.

$$\frac{1\times \frac{2557\times 100}{83}}{\frac{538}{1+\frac{1.1}{100}}}$$

Multiply 2557 and 100 to get 255700.

$$\frac{1\times \frac{255700}{83}}{\frac{538}{1+\frac{1.1}{100}}}$$

Multiply 1 and \frac{255700}{83} to get \frac{255700}{83}.

$$\frac{\frac{255700}{83}}{\frac{538}{1+\frac{1.1}{100}}}$$

Expand \frac{1.1}{100} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{255700}{83}}{\frac{538}{1+\frac{11}{1000}}}$$

Convert 1 to fraction \frac{1000}{1000}.

$$\frac{\frac{255700}{83}}{\frac{538}{\frac{1000}{1000}+\frac{11}{1000}}}$$

Since \frac{1000}{1000} and \frac{11}{1000} have the same denominator, add them by adding their numerators.

$$\frac{\frac{255700}{83}}{\frac{538}{\frac{1000+11}{1000}}}$$

Add 1000 and 11 to get 1011.

$$\frac{\frac{255700}{83}}{\frac{538}{\frac{1011}{1000}}}$$

Divide 538 by \frac{1011}{1000} by multiplying 538 by the reciprocal of \frac{1011}{1000}.

$$\frac{\frac{255700}{83}}{538\times \frac{1000}{1011}}$$

Express 538\times \frac{1000}{1011} as a single fraction.

$$\frac{\frac{255700}{83}}{\frac{538\times 1000}{1011}}$$

Multiply 538 and 1000 to get 538000.

$$\frac{\frac{255700}{83}}{\frac{538000}{1011}}$$

Divide \frac{255700}{83} by \frac{538000}{1011} by multiplying \frac{255700}{83} by the reciprocal of \frac{538000}{1011}.

$$\frac{255700}{83}\times \frac{1011}{538000}$$

Multiply \frac{255700}{83} times \frac{1011}{538000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{255700\times 1011}{83\times 538000}$$

Do the multiplications in the fraction \frac{255700\times 1011}{83\times 538000}.

$$\frac{258512700}{44654000}$$

Reduce the fraction \frac{258512700}{44654000} to lowest terms by extracting and canceling out 100.

$$\frac{2585127}{446540}$$

Factor

$$\frac{3 \cdot 337 \cdot 2557}{5 \cdot 83 \cdot 269 \cdot 2 ^ {2}} = 5\frac{352427}{446540} = 5.789239485824338$$