Solve 14/15div2-1/5

$$\frac { 14 } { 15 } \div 2 - \frac { 1 } { 5 }$$

Evaluate

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

Solution Steps

Express \frac{\frac{14}{15}}{2} as a single fraction.

$$\frac{14}{15\times 2}-\frac{1}{5}$$

Multiply 15 and 2 to get 30.

$$\frac{14}{30}-\frac{1}{5}$$

Reduce the fraction \frac{14}{30} to lowest terms by extracting and canceling out 2.

$$\frac{7}{15}-\frac{1}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{7}{15} and \frac{1}{5} to fractions with denominator 15.

$$\frac{7}{15}-\frac{3}{15}$$

Since \frac{7}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-3}{15}$$

Subtract 3 from 7 to get 4.

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

Factor

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