Solve 22/3div8+51/6*5/31=

$$2 \frac { 2 } { 3 } \div 8 + 5 \frac { 1 } { 6 } \times \frac { 5 } { 31 } =$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Express \frac{\frac{2\times 3+2}{3}}{8} as a single fraction.

$$\frac{2\times 3+2}{3\times 8}+\frac{5\times 6+1}{6}\times \frac{5}{31}$$

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3\times 8}+\frac{5\times 6+1}{6}\times \frac{5}{31}$$

Add 6 and 2 to get 8.

$$\frac{8}{3\times 8}+\frac{5\times 6+1}{6}\times \frac{5}{31}$$

Multiply 3 and 8 to get 24.

$$\frac{8}{24}+\frac{5\times 6+1}{6}\times \frac{5}{31}$$

Reduce the fraction \frac{8}{24} to lowest terms by extracting and canceling out 8.

$$\frac{1}{3}+\frac{5\times 6+1}{6}\times \frac{5}{31}$$

Multiply 5 and 6 to get 30.

$$\frac{1}{3}+\frac{30+1}{6}\times \frac{5}{31}$$

Add 30 and 1 to get 31.

$$\frac{1}{3}+\frac{31}{6}\times \frac{5}{31}$$

Multiply \frac{31}{6} times \frac{5}{31} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}+\frac{31\times 5}{6\times 31}$$

Cancel out 31 in both numerator and denominator.

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

Least common multiple of 3 and 6 is 6. Convert \frac{1}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{2}{6}+\frac{5}{6}$$

Since \frac{2}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{2+5}{6}$$

Add 2 and 5 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$