Solve 31/2+51/4+25/6

$$3 \frac { 1 } { 2 } + 5 \frac { 1 } { 4 } + 2 \frac { 5 } { 6 }$$

Evaluate

$$\frac{139}{12}\approx 11.583333333$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}+\frac{5\times 4+1}{4}+\frac{2\times 6+5}{6}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}+\frac{5\times 4+1}{4}+\frac{2\times 6+5}{6}$$

Multiply 5 and 4 to get 20.

$$\frac{7}{2}+\frac{20+1}{4}+\frac{2\times 6+5}{6}$$

Add 20 and 1 to get 21.

$$\frac{7}{2}+\frac{21}{4}+\frac{2\times 6+5}{6}$$

Least common multiple of 2 and 4 is 4. Convert \frac{7}{2} and \frac{21}{4} to fractions with denominator 4.

$$\frac{14}{4}+\frac{21}{4}+\frac{2\times 6+5}{6}$$

Since \frac{14}{4} and \frac{21}{4} have the same denominator, add them by adding their numerators.

$$\frac{14+21}{4}+\frac{2\times 6+5}{6}$$

Add 14 and 21 to get 35.

$$\frac{35}{4}+\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{35}{4}+\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{35}{4}+\frac{17}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{35}{4} and \frac{17}{6} to fractions with denominator 12.

$$\frac{105}{12}+\frac{34}{12}$$

Since \frac{105}{12} and \frac{34}{12} have the same denominator, add them by adding their numerators.

$$\frac{105+34}{12}$$

Add 105 and 34 to get 139.

$$\frac{139}{12}$$

Factor

$$\frac{139}{2 ^ {2} \cdot 3} = 11\frac{7}{12} = 11.583333333333334$$