Answer: 1 11/21
Step-by-step explanation:
Data: 2/3+6/7=x
Step one, Find the common denominator
(2/3)x7(for each number)=14/21
(6/7)x3(for each number)=18/21
Reason: To add fractions, you always have to find the common denominator(so you can make the denominator the same for each fraction). The common denominator of 3 and 7 is 21 and since what you do to the bottom has to be done to the top, you multiply 2 by 7 and 6 by 3 to end up with 14/21 and 18/21.
Step two, add
14/21+18/21=32/21=1 11/21
Reason: Since we have our common denominators, we just have to add and, with fractions, you only add the top(numerator) and not the bottom(denominator) you end up with 32/14 but when made into a mixed fraction(by dividing the bottom into the top and leaving the remainder on the top) you get 1 11/21 which can't be simplified.
So since it can't be simplified, it's your answer
I hope this helps!
