Solve (2/3-1/5)*(-1/15)=

$$( \frac{ 2 }{ 3 } - \frac{ 1 }{ 5 } ) \times (- \frac{ 1 }{ 15 } )=$$

Evaluate

$$-\frac{7}{225}\approx -0.031111111$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{1}{5} to fractions with denominator 15.

$$\left(\frac{10}{15}-\frac{3}{15}\right)\left(-\frac{1}{15}\right)$$

Since \frac{10}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{15}\left(-\frac{1}{15}\right)$$

Subtract 3 from 10 to get 7.

$$\frac{7}{15}\left(-\frac{1}{15}\right)$$

Multiply \frac{7}{15} times -\frac{1}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-1\right)}{15\times 15}$$

Do the multiplications in the fraction \frac{7\left(-1\right)}{15\times 15}.

$$\frac{-7}{225}$$

Fraction \frac{-7}{225} can be rewritten as -\frac{7}{225} by extracting the negative sign.

$$-\frac{7}{225}$$

Factor

$$-\frac{7}{225} = -0.03111111111111111$$