Solve 2+5/12/2-frac{5{12}}

$$\frac { 2 + \frac { 5 } { 12 } } { 2 - \frac { 5 } { 12 } }$$

Evaluate

$$\frac{29}{19}\approx 1.526315789$$

Solution Steps

Convert 2 to fraction \frac{24}{12}.

$$\frac{\frac{24}{12}+\frac{5}{12}}{2-\frac{5}{12}}$$

Since \frac{24}{12} and \frac{5}{12} have the same denominator, add them by adding their numerators.

$$\frac{\frac{24+5}{12}}{2-\frac{5}{12}}$$

Add 24 and 5 to get 29.

$$\frac{\frac{29}{12}}{2-\frac{5}{12}}$$

Convert 2 to fraction \frac{24}{12}.

$$\frac{\frac{29}{12}}{\frac{24}{12}-\frac{5}{12}}$$

Since \frac{24}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{29}{12}}{\frac{24-5}{12}}$$

Subtract 5 from 24 to get 19.

$$\frac{\frac{29}{12}}{\frac{19}{12}}$$

Divide \frac{29}{12} by \frac{19}{12} by multiplying \frac{29}{12} by the reciprocal of \frac{19}{12}.

$$\frac{29}{12}\times \frac{12}{19}$$

Multiply \frac{29}{12} times \frac{12}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29\times 12}{12\times 19}$$

Cancel out 12 in both numerator and denominator.

$$\frac{29}{19}$$

Factor

$$\frac{29}{19} = 1\frac{10}{19} = 1.5263157894736843$$