Exercise 1 Page 661

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.

6/5+5/6

ExpandFrac

a/b=a * 6/b * 6

6* 6/5* 6+5/6

ExpandFrac

a/b=a * 5/b * 5

6*6/5*6+5 * 5/6* 5

Multiply

Multiply

36/30+25/30

Now that we have a common denominator, we can proceed to simplify the expression.

36/30+25/30

AddFrac

Add fractions

36+25/30

AddTerms

Add terms

61/30

Therefore, 6130 is the answer to the sum of the fractions. However, we can also write our answer as a mixed number.

61/30

▼

Write as mixed number

Rewrite

Rewrite 61 as 60+1

60+1/30

WriteSumFrac

Write as a sum of fractions

60/30+1/30

CalcQuot

Calculate quotient

2+1/30

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