If 5 is added to both the numerator and the denominator of the fraction \(\dfrac{5}{9}\), will the value of the fraction be changed? If so, will the value increase or decrease?
Yes, increase.
New fraction: \(\dfrac{5+5}{9+5}=\dfrac{10}{14}=\dfrac{5}{7}\). Compare: \(\dfrac{5}{7} \gt \dfrac{5}{9}\) (same numerator; smaller denominator gives larger value), hence it increases.