How do you simplify #-2\frac { 1} { 10} \cdot \frac { 1} { 3} \cdot \frac { 9} { 8}#?

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Answer 1 · 2017-09-18T13:29:56

See a solution process below:

First, convert the mixed number into an improper fractions:

#-2 1/10 * 1/3 * 9/8 =>#

#-(2 + 1/10) * 1/3 * 9/8 =>#

#-([10/10 xx 2] + 1/10) * 1/3 * 9/8 =>#

#-(20/10 + 1/10) * 1/3 * 9/8 =>#

#-(20 + 1)/10 * 1/3 * 9/8 =>#

#-21/10 * 1/3 * 9/8#

Next, cancel common terms in the numerators and denominators:

#-(color(red)(cancel(color(black)(21)))7)/10 * 1/color(red)(cancel(color(black)(3))) * 9/8 =>#

#-7/10 * 1/1 * 9/8#

Now, multiply the numerators over the denominators multiplied:

#-(7 * 1 * 9)/(10 * 1 * 8) =>#

#-63/80#