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To add fractions, they need to have the same denominator.
2 130
To add the fractions, they should have a common denominator. In this exercise, we have two fractions with different denominators.
6/5+5/6
In this case, the least common denominator is 30. Let's rewrite our expression so that both fractions have a denominator of 30. To do this, we will multiply the numerator and denominator in the first fraction by 6 and by multiplying the numerator and denominator in the second fraction by 5.
a/b=a * 6/b * 6
a/b=a * 5/b * 5
Multiply
Now that we have a common denominator, we can proceed to simplify the expression.
Therefore, 6130 is the answer to the sum of the fractions. However, we can also write our answer as a mixed number.
Rewrite 61 as 60+1
Write as a sum of fractions
Calculate quotient
Finally, the expression 2+ 130 can be read as 2 and 130. Therefore, it can be written as 2 130. 6/5+5/6=61/30 ⇔ 6/5+5/6=2 130