Solve 5/9*6+4/9div1/6

$$\frac { 5 } { 9 } \times 6 + \frac { 4 } { 9 } \div \frac { 1 } { 6 }$$

Evaluate

$$6$$

Solution Steps

Express \frac{5}{9}\times 6 as a single fraction.

$$\frac{5\times 6}{9}+\frac{\frac{4}{9}}{\frac{1}{6}}$$

Multiply 5 and 6 to get 30.

$$\frac{30}{9}+\frac{\frac{4}{9}}{\frac{1}{6}}$$

Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.

$$\frac{10}{3}+\frac{\frac{4}{9}}{\frac{1}{6}}$$

Divide \frac{4}{9} by \frac{1}{6} by multiplying \frac{4}{9} by the reciprocal of \frac{1}{6}.

$$\frac{10}{3}+\frac{4}{9}\times 6$$

Express \frac{4}{9}\times 6 as a single fraction.

$$\frac{10}{3}+\frac{4\times 6}{9}$$

Multiply 4 and 6 to get 24.

$$\frac{10}{3}+\frac{24}{9}$$

Reduce the fraction \frac{24}{9} to lowest terms by extracting and canceling out 3.

$$\frac{10}{3}+\frac{8}{3}$$

Since \frac{10}{3} and \frac{8}{3} have the same denominator, add them by adding their numerators.

$$\frac{10+8}{3}$$

Add 10 and 8 to get 18.

$$\frac{18}{3}$$

Divide 18 by 3 to get 6.

$$6$$

Factor

$$2\times 3$$