Solve 25/6+123/4

$$2 \frac { 5 } { 6 } + 12 \frac { 3 } { 4 }$$

Evaluate

$$\frac{187}{12}\approx 15.583333333$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+5}{6}+\frac{12\times 4+3}{4}$$

Add 12 and 5 to get 17.

$$\frac{17}{6}+\frac{12\times 4+3}{4}$$

Multiply 12 and 4 to get 48.

$$\frac{17}{6}+\frac{48+3}{4}$$

Add 48 and 3 to get 51.

$$\frac{17}{6}+\frac{51}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{17}{6} and \frac{51}{4} to fractions with denominator 12.

$$\frac{34}{12}+\frac{153}{12}$$

Since \frac{34}{12} and \frac{153}{12} have the same denominator, add them by adding their numerators.

$$\frac{34+153}{12}$$

Add 34 and 153 to get 187.

$$\frac{187}{12}$$

Factor

$$\frac{11 \cdot 17}{2 ^ {2} \cdot 3} = 15\frac{7}{12} = 15.583333333333334$$