Solve 1/6+21/8

$$\frac { 1 } { 6 } + 2 \frac { 1 } { 8 }$$

Evaluate

$$\frac{55}{24}\approx 2.291666667$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{1}{6}+\frac{16+1}{8}$$

Add 16 and 1 to get 17.

$$\frac{1}{6}+\frac{17}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{1}{6} and \frac{17}{8} to fractions with denominator 24.

$$\frac{4}{24}+\frac{51}{24}$$

Since \frac{4}{24} and \frac{51}{24} have the same denominator, add them by adding their numerators.

$$\frac{4+51}{24}$$

Add 4 and 51 to get 55.

$$\frac{55}{24}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {3} \cdot 3} = 2\frac{7}{24} = 2.2916666666666665$$