Solve 37/6+21/8

$$3 \frac { 7 } { 6 } + 2 \frac { 1 } { 8 }$$

Evaluate

$$\frac{151}{24}\approx 6.291666667$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+7}{6}+\frac{2\times 8+1}{8}$$

Add 18 and 7 to get 25.

$$\frac{25}{6}+\frac{2\times 8+1}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{25}{6}+\frac{16+1}{8}$$

Add 16 and 1 to get 17.

$$\frac{25}{6}+\frac{17}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{25}{6} and \frac{17}{8} to fractions with denominator 24.

$$\frac{100}{24}+\frac{51}{24}$$

Since \frac{100}{24} and \frac{51}{24} have the same denominator, add them by adding their numerators.

$$\frac{100+51}{24}$$

Add 100 and 51 to get 151.

$$\frac{151}{24}$$

Factor

$$\frac{151}{2 ^ {3} \cdot 3} = 6\frac{7}{24} = 6.291666666666667$$