Solve 13/13-frac{156{25}}

$$\frac { 13 } { 13 - \frac { 156 } { 25 } }$$

Evaluate

$$\frac{25}{13}\approx 1.923076923$$

Solution Steps

Convert 13 to fraction \frac{325}{25}.

$$\frac{13}{\frac{325}{25}-\frac{156}{25}}$$

Since \frac{325}{25} and \frac{156}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13}{\frac{325-156}{25}}$$

Subtract 156 from 325 to get 169.

$$\frac{13}{\frac{169}{25}}$$

Divide 13 by \frac{169}{25} by multiplying 13 by the reciprocal of \frac{169}{25}.

$$13\times \frac{25}{169}$$

Express 13\times \frac{25}{169} as a single fraction.

$$\frac{13\times 25}{169}$$

Multiply 13 and 25 to get 325.

$$\frac{325}{169}$$

Reduce the fraction \frac{325}{169} to lowest terms by extracting and canceling out 13.

$$\frac{25}{13}$$

Factor

$$\frac{5 ^ {2}}{13} = 1\frac{12}{13} = 1.9230769230769231$$