Solve 31/4+35/6

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

Evaluate

$$\frac{85}{12}\approx 7.083333333$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+1}{4}+\frac{3\times 6+5}{6}$$

Add 12 and 1 to get 13.

$$\frac{13}{4}+\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{13}{4}+\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{13}{4}+\frac{23}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{13}{4} and \frac{23}{6} to fractions with denominator 12.

$$\frac{39}{12}+\frac{46}{12}$$

Since \frac{39}{12} and \frac{46}{12} have the same denominator, add them by adding their numerators.

$$\frac{39+46}{12}$$

Add 39 and 46 to get 85.

$$\frac{85}{12}$$

Factor

$$\frac{5 \cdot 17}{2 ^ {2} \cdot 3} = 7\frac{1}{12} = 7.083333333333333$$