Solve 5/6+1/3div6/7=

$$\frac { 5 } { 6 } + \frac { 1 } { 3 } \div \frac { 6 } { 7 } =$$

Evaluate

$$\frac{11}{9}\approx 1.222222222$$

Solution Steps

Divide \frac{1}{3} by \frac{6}{7} by multiplying \frac{1}{3} by the reciprocal of \frac{6}{7}.

$$\frac{5}{6}+\frac{1}{3}\times \frac{7}{6}$$

Multiply \frac{1}{3} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{6}+\frac{1\times 7}{3\times 6}$$

Do the multiplications in the fraction \frac{1\times 7}{3\times 6}.

$$\frac{5}{6}+\frac{7}{18}$$

Least common multiple of 6 and 18 is 18. Convert \frac{5}{6} and \frac{7}{18} to fractions with denominator 18.

$$\frac{15}{18}+\frac{7}{18}$$

Since \frac{15}{18} and \frac{7}{18} have the same denominator, add them by adding their numerators.

$$\frac{15+7}{18}$$

Add 15 and 7 to get 22.

$$\frac{22}{18}$$

Reduce the fraction \frac{22}{18} to lowest terms by extracting and canceling out 2.

$$\frac{11}{9}$$

Factor

$$\frac{11}{3 ^ {2}} = 1\frac{2}{9} = 1.2222222222222223$$