Question #a69d2

1 Answer
Jan 30, 2017

Answer:

#247/20=12 7/20=12.35#

Explanation:

Which answer you choose depends on whether you want to use only decimals or only fractions.

If you use fractions, you must first restate the problem using only fractions.

#(-1/4+3)+(-1/5+5)-(-5/2-2 3/10)#

We can restate this, writing the mixed fraction #2 3/10# as the improper fraction #23/10#.

#(-1/4+3)+(-1/5+5)-(-5/2-23/10)#

Inside each of the parentheses, add or subtract the fractions.

#(11/4)+(24/5)-(-48/10)#

Get rid of the negatives by applying the principle that a negative times a negative is a positive.

#(11/4)+(24/5)+(48/10)#

Notice the greatest common denominator is #20# because #10times2=20#, #5times4=20#, and #4times5=20#. This gives

#((11times5)/(4times5))+((24times4)/(5times4))+((48times2)/(10times2))#

Or

#55/20+96/20+96/20=247/20=12 7/20=12/35#