Unit Fraction Math Example 2

Solution

1. 1
   Intuition: $\dfrac{1}{7}$ means one whole divided into $7$ equal parts; $\dfrac{1}{9}$ means one whole divided into $9$ equal parts. More parts means each piece is smaller, so $\dfrac{1}{7} > \dfrac{1}{9}$.
2. 2
   Verify with common denominator $63$: $\dfrac{1}{7} = \dfrac{9}{63}$ and $\dfrac{1}{9} = \dfrac{7}{63}$.
3. 3
   Since $9 > 7$: $\dfrac{9}{63} > \dfrac{7}{63}$, confirming $\dfrac{1}{7} > \dfrac{1}{9}$.