How do you multiply #(- \frac { 2} { 5} ) \cdot \frac { 9} { 8} \cdot ( \frac { - 10} { 3} )#?

1 Answer
smendyka
Jul 15, 2017

See a solution process below:

Explanation:

To multiply fractions multiply the numerators over the denominators multiplied:

#(-2 * 9 * -10)/(5 * 8 * 3)#

Next, we can cancel common terms:

#(-color(red)(cancel(color(black)(2))) * color(blue)(cancel(color(black)(9)))3 * -color(green)(cancel(color(black)(10)))2)/(color(green)(cancel(color(black)(5))) * color(red)(cancel(color(black)(8)))4 * color(blue)(cancel(color(black)(3)))) =>#

#(-1 * 3 * -2)/(1 * 4 * 1) =>#

#(-1 * 3 * -color(red)(cancel(color(black)(2))))/(1 * color(red)(cancel(color(black)(4)))2 * 1) =>#

#(-1 * 3 * -1)/(1 * 2 * 1)#

Now, we can multiply the numerator and denominator:

#(-1 * 3 * -1)/(1 * 2 * 1) =>#

#(-3 * -1)/(2 * 1) =>#

#3/2#

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