Question

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

Answer 1

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

Answer 2

Sum:

$\dfrac{3}{11} + \dfrac{13}{5}$

• Set up

$\dfrac{15}{55} + \dfrac{143}{55}$

• Find common denominator (55)

$\dfrac{15 + 143}{55} = \boxed{\dfrac{158}{55}}$

• Add numerators over common denominator

Difference:

$\dfrac{3}{11} - \dfrac{13}{5}$

• Set up

$\dfrac{15}{55} - \dfrac{143}{55}$

• Find common denominator (55)

$\dfrac{15 - 143}{55} = \boxed{-\dfrac{128}{55}}$

• Subtract numerators over common denominator