Solve 11/6+71/3div11

$$1 \frac { 1 } { 6 } + 7 \frac { 1 } { 3 } \div 11$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{6+1}{6}+\frac{\frac{7\times 3+1}{3}}{11}$$

Add 6 and 1 to get 7.

$$\frac{7}{6}+\frac{\frac{7\times 3+1}{3}}{11}$$

Express \frac{\frac{7\times 3+1}{3}}{11} as a single fraction.

$$\frac{7}{6}+\frac{7\times 3+1}{3\times 11}$$

Multiply 7 and 3 to get 21.

$$\frac{7}{6}+\frac{21+1}{3\times 11}$$

Add 21 and 1 to get 22.

$$\frac{7}{6}+\frac{22}{3\times 11}$$

Multiply 3 and 11 to get 33.

$$\frac{7}{6}+\frac{22}{33}$$

Reduce the fraction \frac{22}{33} to lowest terms by extracting and canceling out 11.

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

Least common multiple of 6 and 3 is 6. Convert \frac{7}{6} and \frac{2}{3} to fractions with denominator 6.

$$\frac{7}{6}+\frac{4}{6}$$

Since \frac{7}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{7+4}{6}$$

Add 7 and 4 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$