Solve 5/3-1/6/frac{1{2}}

$$\frac{ \frac{ 5 }{ 3 } - \frac{ 1 }{ 6 } }{ \frac{ 1 }{ 2 } }$$

Evaluate

$$3$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{1}{6} to fractions with denominator 6.

$$\frac{\frac{10}{6}-\frac{1}{6}}{\frac{1}{2}}$$

Since \frac{10}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{10-1}{6}}{\frac{1}{2}}$$

Subtract 1 from 10 to get 9.

$$\frac{\frac{9}{6}}{\frac{1}{2}}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{3}{2}}{\frac{1}{2}}$$

Divide \frac{3}{2} by \frac{1}{2} by multiplying \frac{3}{2} by the reciprocal of \frac{1}{2}.

$$\frac{3}{2}\times 2$$

Cancel out 2 and 2.

$$3$$

Factor

$$3$$