Comparing Fractions Math Example 4

Solution

1. 1
   Compare each fraction to the benchmark $\frac{1}{2}$.
2. 2
   $\frac{11}{20}$: half of $20$ is $10$, and $11 > 10$, so $\frac{11}{20} > \frac{1}{2}$.
3. 3
   $\frac{8}{15}$: half of $15$ is $7.5$, and $8 > 7.5$, so $\frac{8}{15} > \frac{1}{2}$ as well.
4. 4
   Both are above $\frac{1}{2}$, so use cross-multiplication: $11 \times 15 = 165$ and $8 \times 20 = 160$. Since $165 > 160$, we have $\frac{11}{20} > \frac{8}{15}$.