Solve 2+5/12+12/5

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

Evaluate

$$\frac{289}{60}\approx 4.816666667$$

Solution Steps

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

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

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

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

Add 24 and 5 to get 29.

$$\frac{29}{12}+\frac{12}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{29}{12} and \frac{12}{5} to fractions with denominator 60.

$$\frac{145}{60}+\frac{144}{60}$$

Since \frac{145}{60} and \frac{144}{60} have the same denominator, add them by adding their numerators.

$$\frac{145+144}{60}$$

Add 145 and 144 to get 289.

$$\frac{289}{60}$$

Factor

$$\frac{17 ^ {2}}{2 ^ {2} \cdot 3 \cdot 5} = 4\frac{49}{60} = 4.816666666666666$$