Question

fred can swim \\(\frac{2}{3}\\) of the length of the pool. jimin can swim \\(\frac{8}{9}\\) of the length of a pool. they want to know who swims fart\
complete the sentence describing the comparison.\
\\(\frac{8}{9}\\) of the length of the pool is \\(\boldsymbol{?}\\) \\(\frac{2}{3}\\) of the length of the pool.

Explanation:

Step1: Convert to common denominator

To compare $\frac{2}{3}$ and $\frac{8}{9}$, find a common denominator. The least common denominator of 3 and 9 is 9. Rewrite $\frac{2}{3}$ with denominator 9: $\frac{2}{3}=\frac{2\times3}{3\times3}=\frac{6}{9}$.

Step2: Compare the fractions

Now compare $\frac{8}{9}$ and $\frac{6}{9}$. Since the denominators are the same, we compare the numerators. $8 > 6$, so $\frac{8}{9}>\frac{6}{9}$ (which is $\frac{2}{3}$).

Answer:

greater than