Compare with 1/2: Sorting 57%, 0.54, and Mixed Number Formats

Organise the following into parts larger than $\frac{1}{2}$ and parts smaller than$\frac{1}{2}$:

$57\%,49\%,\text{0.54,80}\%,\frac{57}{100}$

To solve this problem, we'll convert each given value into decimal form and compare it with $0.5$.

• $57\% = 0.57$, and since $0.57 > 0.5$, it is larger than $\frac{1}{2}$.
• $49\% = 0.49$, and since $0.49 < 0.5$, it is smaller than $\frac{1}{2}$.
• $0.54$ is already in decimal form, and since $0.54 > 0.5$, it is larger than $\frac{1}{2}$.
• $80\% = 0.80$, and since $0.80 > 0.5$, it is larger than $\frac{1}{2}$.
• $\frac{57}{100} = 0.57$, and since $0.57 > 0.5$, it is larger than $\frac{1}{2}$.

After comparing all the values, we classify them as follows:
- Smaller than $\frac{1}{2}$: $49\%$
- Larger than $\frac{1}{2}$: $57\%$, $0.54$, $80\%$, $\frac{57}{100}$

Therefore, the correct classification is:

$49\% < \frac{1}{2}$

$57\%, 0.54, 80\%, \frac{57}{100} > \frac{1}{2}$