Solve 48/100/1-frac{1{100}}

$$\frac{ \frac{ 48 }{ 100 } }{ 1- \frac{ 1 }{ 100 } }$$

Evaluate

$$\frac{16}{33}\approx 0.484848485$$

Solution Steps

Reduce the fraction \frac{48}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{12}{25}}{1-\frac{1}{100}}$$

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

$$\frac{\frac{12}{25}}{\frac{100}{100}-\frac{1}{100}}$$

Since \frac{100}{100} and \frac{1}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{12}{25}}{\frac{100-1}{100}}$$

Subtract 1 from 100 to get 99.

$$\frac{\frac{12}{25}}{\frac{99}{100}}$$

Divide \frac{12}{25} by \frac{99}{100} by multiplying \frac{12}{25} by the reciprocal of \frac{99}{100}.

$$\frac{12}{25}\times \frac{100}{99}$$

Multiply \frac{12}{25} times \frac{100}{99} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 100}{25\times 99}$$

Do the multiplications in the fraction \frac{12\times 100}{25\times 99}.

$$\frac{1200}{2475}$$

Reduce the fraction \frac{1200}{2475} to lowest terms by extracting and canceling out 75.

$$\frac{16}{33}$$

Factor

$$\frac{2 ^ {4}}{3 \cdot 11} = 0.48484848484848486$$