How do you evaluate #80 + (-22 4/15)#?

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Answer 1 · 2017-11-09T18:09:30

See a solution process below:

First, convert the mixed number #22 4/15# to an improper fraction:

#22 4/15 = 22 + 4/15 = (15/15 xx 22) + 4/15 = 330/15 + 4/15 =#

#(330 + 4)/15 = 334/15#

We can also put #80# over a common denominator:

#15/15 xx 80 = 1200/15#

We can now rewrite and evaluate the problem remembering plus a minus is a minus:

#1200/15 - 334/15 = (1200 - 334)/15 = 866/15#

If necessary we can convert the improper fraction into a mixed number:

#866/15 = (855 + 11)/15 = 855/15 + 11/15 = 57 + 11/15 = 57 11/15#