Solve 300/9.58{1+frac{3/9.58}}-100

$$\frac{ 300 }{ \frac{ 9.58 }{ 1+ \frac{ 3 }{ 9.58 } } } -100$$

Evaluate

$$-\frac{13509100}{229441}\approx -58.878317302$$

Solution Steps

Divide 300 by \frac{9.58}{1+\frac{3}{9.58}} by multiplying 300 by the reciprocal of \frac{9.58}{1+\frac{3}{9.58}}.

$$\frac{300\left(1+\frac{3}{9.58}\right)}{9.58}-100$$

Expand \frac{3}{9.58} by multiplying both numerator and the denominator by 100.

$$\frac{300\left(1+\frac{300}{958}\right)}{9.58}-100$$

Reduce the fraction \frac{300}{958} to lowest terms by extracting and canceling out 2.

$$\frac{300\left(1+\frac{150}{479}\right)}{9.58}-100$$

Convert 1 to fraction \frac{479}{479}.

$$\frac{300\left(\frac{479}{479}+\frac{150}{479}\right)}{9.58}-100$$

Since \frac{479}{479} and \frac{150}{479} have the same denominator, add them by adding their numerators.

$$\frac{300\times \frac{479+150}{479}}{9.58}-100$$

Add 479 and 150 to get 629.

$$\frac{300\times \frac{629}{479}}{9.58}-100$$

Express 300\times \frac{629}{479} as a single fraction.

$$\frac{\frac{300\times 629}{479}}{9.58}-100$$

Multiply 300 and 629 to get 188700.

$$\frac{\frac{188700}{479}}{9.58}-100$$

Express \frac{\frac{188700}{479}}{9.58} as a single fraction.

$$\frac{188700}{479\times 9.58}-100$$

Multiply 479 and 9.58 to get 4588.82.

$$\frac{188700}{4588.82}-100$$

Expand \frac{188700}{4588.82} by multiplying both numerator and the denominator by 100.

$$\frac{18870000}{458882}-100$$

Reduce the fraction \frac{18870000}{458882} to lowest terms by extracting and canceling out 2.

$$\frac{9435000}{229441}-100$$

Convert 100 to fraction \frac{22944100}{229441}.

$$\frac{9435000}{229441}-\frac{22944100}{229441}$$

Since \frac{9435000}{229441} and \frac{22944100}{229441} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9435000-22944100}{229441}$$

Subtract 22944100 from 9435000 to get -13509100.

$$-\frac{13509100}{229441}$$

Factor

$$-\frac{13509100}{229441} = -58\frac{201522}{229441} = -58.87831730161567$$