Solve 3/9(-4/8+5/15)

$$\frac { 3 } { 9 } ( - \frac { 4 } { 8 } + \frac { 5 } { 15 } )$$

Evaluate

$$-\frac{1}{18}\approx -0.055555556$$

Solution Steps

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

$$\frac{1}{3}\left(-\frac{4}{8}+\frac{5}{15}\right)$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}\left(-\frac{1}{2}+\frac{5}{15}\right)$$

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$\frac{1}{3}\left(-\frac{1}{2}+\frac{1}{3}\right)$$

Least common multiple of 2 and 3 is 6. Convert -\frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{1}{3}\left(-\frac{3}{6}+\frac{2}{6}\right)$$

Since -\frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

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

Add -3 and 2 to get -1.

$$\frac{1}{3}\left(-\frac{1}{6}\right)$$

Multiply \frac{1}{3} times -\frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-1\right)}{3\times 6}$$

Do the multiplications in the fraction \frac{1\left(-1\right)}{3\times 6}.

$$\frac{-1}{18}$$

Fraction \frac{-1}{18} can be rewritten as -\frac{1}{18} by extracting the negative sign.

$$-\frac{1}{18}$$

Factor

$$-\frac{1}{18} = -0.05555555555555555$$