Solve -2left(9/2+5/15right)

$$-2 \left( \frac{ 9 }{ 2 } + \frac{ 5 }{ 15 } \right)$$

Evaluate

$$-\frac{29}{3}\approx -9.666666667$$

Solution Steps

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

$$-2\left(\frac{9}{2}+\frac{1}{3}\right)$$

Least common multiple of 2 and 3 is 6. Convert \frac{9}{2} and \frac{1}{3} to fractions with denominator 6.

$$-2\left(\frac{27}{6}+\frac{2}{6}\right)$$

Since \frac{27}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$-2\times \frac{27+2}{6}$$

Add 27 and 2 to get 29.

$$-2\times \frac{29}{6}$$

Express -2\times \frac{29}{6} as a single fraction.

$$\frac{-2\times 29}{6}$$

Multiply -2 and 29 to get -58.

$$\frac{-58}{6}$$

Reduce the fraction \frac{-58}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{29}{3}$$

Factor

$$-\frac{29}{3} = -9\frac{2}{3} = -9.666666666666666$$