How do you multiply #\frac { - 2} { 5} \cdot \frac { 9} { 3} \cdot ( - 8)#?

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Answer 1 · 2017-06-24T14:45:48

See a solution process below:

First, we can simplify the fraction in the middle of the expression as:

#(-2)/5 * 9/3 * (-8) => (-2)/5 * (3 * 3)/3 * (-8) =>#

#(-2)/5 * (color(red)(cancel(color(black)(3))) * 3)/color(red)(cancel(color(black)(3))) * (-8) => (-2)/5 * 3 * (-8)#

Next, we can multiply the to terms on the right of the equation as:

#(-2)/5 * (3 * (-8)) => (-2)/5 * (-24)#

Next, we can write the term on the write as a fraction and multiply the numerators and denominators:

#(-2)/5 * (-24) = > (-2)/5 * (-24)/1 => ((-2) * (-24))/(5 * 1) =>#

#48/5#