Question

1. tina completed \\(\frac{2}{3}\\) of her homework. george completed \\(\frac{8}{9}\\) of his homework. tina and george have the same amount of homework. who completed a greater fraction of homework?

Explanation:

Step1: Find common denominator

To compare $\frac{2}{3}$ and $\frac{8}{9}$, use 9 as the common denominator.

Step2: Rewrite $\frac{2}{3}$ with denominator 9

$\frac{2}{3} = \frac{2\times3}{3\times3} = \frac{6}{9}$

Step3: Compare the two fractions

Compare $\frac{6}{9}$ and $\frac{8}{9}$. Since $6 < 8$, $\frac{6}{9} < \frac{8}{9}$.

Answer:

George completed a greater fraction of homework.