How do you evaluate #(- \frac { 5} { 8} ) \div ( - \frac { 3} { 10} ) \times ( - 1\frac { 1} { 3} )#?

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Answer 1 · 2017-01-01T21:41:03

#=-2 7/9#

Division and multiplication are equally strong, so they can be done in any order.

#(-5/8 )color(red)(div (-3/10)) xx color(blue)((-1 1/3))#

#color(white)(.......................)color(red)(darr)color(white)(..............)color(blue)(darr)#

#(-5/8 )color(red)(xx (-10/3)) xx color(blue)((-4/3))#

#color(red)("multiply by the reciprocal")#

#color(blue)("change to an improper fraction")#

Signs: there are 3 negative signs multiplied, the answer will negative.

=#-5/cancel8^cancel2 xxcancel10^5/3xxcancel4/3" "larr#cancel where possible

#=-25/9#

#=-2 7/9#