Question

Find both the sum and difference of the following rational numbers. 3/11, 13/5

Answer 1

Sum:

`(3)/(11) + (13)/(5)`

• Set up

`(15)/(55) + (143)/(55)`

• Find common denominator (55)

`(15 + 143)/(55) = \boxed{(158)/(55)}`

• Add numerators over common denominator

Difference:

`(3)/(11) - (13)/(5)`

• Set up

`(15)/(55) - (143)/(55)`

• Find common denominator (55)

`(15 - 143)/(55) = \boxed{-(128)/(55)}`

• Subtract numerators over common denominator

Answer 2

for 3/11 the difference is 8 the sum is 14.the difference of 13/5 is 8 the sum is 18