How do you simplify #2 1/2+7(6/7-1/7)#?

1 Answer
smendyka
Dec 13, 2016

#15/2# or #7 1/2#

Explanation:

Step 1) Combine the terms within parenthesis:

#2 1/2 + 7*5/7#

#2 1/2 + cancel(7)*5/cancel(7)#

#2 1/2 + 5#

Next we need to convert the mixed fraction to an improper fractions by multiplying the integer by the appropriate for of #1# and adding it to the fraction:

#((2/2 * 2) + 1/2) + 5#

#(4/2 + 1/2) + 5)#

#5/2 + 5#

Finally, we need to get the integer over a common denominator so we can add the terms by multiplying the integer by the appropriate form of #1#:

#5/2 + (2/2 * 5)#

#5/2 + 10/2#

#(5 + 10)/2#

#15/2#

or converting to a mixed fraction:

#(14 + 1)/2#

#14/2 + 1/2#

#7 + 1/2#

#7 1/2#

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