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

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

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Divide \frac{1}{6} by \frac{1}{2} by multiplying \frac{1}{6} by the reciprocal of \frac{1}{2}.

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

Multiply \frac{1}{6} and 2 to get \frac{2}{6}.

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

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{9}{15}-\frac{5}{15}$$

Since \frac{9}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-5}{15}$$

Subtract 5 from 9 to get 4.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$