How do you evaluate #(- \frac { 3} { 5} ) ( - \frac { 8} { 15} ) \div ( - 1\frac { 1} { 5} )#?

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Answer 1 · 2018-03-06T05:07:11

#-4/15#

#(-3/5)(-8/15)-:(-1 1/5)#

Let's take that right fraction and convert it into an improper form:

#(-3/5)(-8/15)-:(-6/5)#

When dividing by a fraction, we can multiply by its reciprocal:

#(-3/5)(-8/15)(-5/6)#

We have some opportunities to cancel:

#(cancel(-)cancel3/cancel5)(cancel(-)cancel8^4/15)(-cancel5/cancel6^cancel2)=-4/15#