Question

what is $\frac{11}{12}(-2.4)$? hint: convert -2.4 to a mixed number. -2.overline{2} -2.2 2.2 2.overline{2}$

Explanation:

Step1: Convert -2.4 to a mixed - number

$-2.4=-2\frac{4}{10}=-2\frac{2}{5}=-\frac{12}{5}$

Step2: Multiply the fractions

$\frac{11}{12}\times(-2.4)=\frac{11}{12}\times(-\frac{12}{5})$
$=\frac{11\times(- 12)}{12\times5}$
$=-\frac{11}{5}$

Step3: Convert the result to a decimal

$-\frac{11}{5}=-2.2$

Answer:

$-2.2$