Solve 100/1+.18(frac{60{360})}=

$$\frac{ 100 }{ 1+.18( \frac{ 60 }{ 360 } ) } =$$

Evaluate

$$\frac{10000}{103}\approx 97.087378641$$

Solution Steps

Reduce the fraction \frac{60}{360} to lowest terms by extracting and canceling out 60.

$$\frac{100}{1+0.18\times \frac{1}{6}}$$

Convert decimal number 0.18 to fraction \frac{18}{100}. Reduce the fraction \frac{18}{100} to lowest terms by extracting and canceling out 2.

$$\frac{100}{1+\frac{9}{50}\times \frac{1}{6}}$$

Multiply \frac{9}{50} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{100}{1+\frac{9\times 1}{50\times 6}}$$

Do the multiplications in the fraction \frac{9\times 1}{50\times 6}.

$$\frac{100}{1+\frac{9}{300}}$$

Reduce the fraction \frac{9}{300} to lowest terms by extracting and canceling out 3.

$$\frac{100}{1+\frac{3}{100}}$$

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

$$\frac{100}{\frac{100}{100}+\frac{3}{100}}$$

Since \frac{100}{100} and \frac{3}{100} have the same denominator, add them by adding their numerators.

$$\frac{100}{\frac{100+3}{100}}$$

Add 100 and 3 to get 103.

$$\frac{100}{\frac{103}{100}}$$

Divide 100 by \frac{103}{100} by multiplying 100 by the reciprocal of \frac{103}{100}.

$$100\times \frac{100}{103}$$

Express 100\times \frac{100}{103} as a single fraction.

$$\frac{100\times 100}{103}$$

Multiply 100 and 100 to get 10000.

$$\frac{10000}{103}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {4}}{103} = 97\frac{9}{103} = 97.0873786407767$$