Question #a69d2

1 Answer
Jan 30, 2017

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