Solve 2+3div6/7

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

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

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

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

Express 3\times \frac{7}{6} as a single fraction.

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

Multiply 3 and 7 to get 21.

$$2+\frac{21}{6}$$

Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.

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

Convert 2 to fraction \frac{4}{2}.

$$\frac{4}{2}+\frac{7}{2}$$

Since \frac{4}{2} and \frac{7}{2} have the same denominator, add them by adding their numerators.

$$\frac{4+7}{2}$$

Add 4 and 7 to get 11.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$