Solve 21/5+8div5/6

$$2 \frac { 1 } { 5 } + 8 \div \frac { 5 } { 6 }$$

Evaluate

$$\frac{59}{5}=11.8$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+1}{5}+\frac{8}{\frac{5}{6}}$$

Add 10 and 1 to get 11.

$$\frac{11}{5}+\frac{8}{\frac{5}{6}}$$

Divide 8 by \frac{5}{6} by multiplying 8 by the reciprocal of \frac{5}{6}.

$$\frac{11}{5}+8\times \frac{6}{5}$$

Express 8\times \frac{6}{5} as a single fraction.

$$\frac{11}{5}+\frac{8\times 6}{5}$$

Multiply 8 and 6 to get 48.

$$\frac{11}{5}+\frac{48}{5}$$

Since \frac{11}{5} and \frac{48}{5} have the same denominator, add them by adding their numerators.

$$\frac{11+48}{5}$$

Add 11 and 48 to get 59.

$$\frac{59}{5}$$

Factor

$$\frac{59}{5} = 11\frac{4}{5} = 11.8$$