Solve (11/6-3/9):5/6

$$( 1 \frac { 1 } { 6 } - \frac { 3 } { 9 } ) : \frac { 5 } { 6 }$$

Evaluate

$$1$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{\frac{6+1}{6}-\frac{3}{9}}{\frac{5}{6}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{7}{6}-\frac{3}{9}}{\frac{5}{6}}$$

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

$$\frac{\frac{7}{6}-\frac{1}{3}}{\frac{5}{6}}$$

Least common multiple of 6 and 3 is 6. Convert \frac{7}{6} and \frac{1}{3} to fractions with denominator 6.

$$\frac{\frac{7}{6}-\frac{2}{6}}{\frac{5}{6}}$$

Since \frac{7}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{7-2}{6}}{\frac{5}{6}}$$

Subtract 2 from 7 to get 5.

$$\frac{\frac{5}{6}}{\frac{5}{6}}$$

Divide \frac{5}{6} by \frac{5}{6} to get 1.

$$1$$

Factor

$$1$$