Solve 83/4+51/6

$$8 \frac{ 3 }{ 4 } +5 \frac{ 1 }{ 6 }$$

Evaluate

$$\frac{167}{12}\approx 13.916666667$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{32+3}{4}+\frac{5\times 6+1}{6}$$

Add 32 and 3 to get 35.

$$\frac{35}{4}+\frac{5\times 6+1}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{35}{4}+\frac{30+1}{6}$$

Add 30 and 1 to get 31.

$$\frac{35}{4}+\frac{31}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{35}{4} and \frac{31}{6} to fractions with denominator 12.

$$\frac{105}{12}+\frac{62}{12}$$

Since \frac{105}{12} and \frac{62}{12} have the same denominator, add them by adding their numerators.

$$\frac{105+62}{12}$$

Add 105 and 62 to get 167.

$$\frac{167}{12}$$

Factor

$$\frac{167}{2 ^ {2} \cdot 3} = 13\frac{11}{12} = 13.916666666666666$$