Classify Fractions and Percentages: Sorting Values Around 25%

Organise the following into two groups of values greater than 25% and values less than 25%:

$\frac{13}{50},\frac{3}{4},34\%,\frac{24}{100},0.28$

To solve this problem, we'll convert each given value to a percentage and compare it with 25%.

• $\frac{13}{50}$: Calculate as $\left(\frac{13}{50}\right) \times 100 = 26\%$.
• $\frac{3}{4}$: Calculate as $\left(\frac{3}{4}\right) \times 100 = 75\%$.
• $34\%$: This value is already in percentage form as 34%.
• $\frac{24}{100}$: Calculate as $\left(\frac{24}{100}\right) \times 100 = 24\%$.
• $0.28$: Calculate as $0.28 \times 100 = 28\%$.

Now, we compare each percentage to 25%:

• $\frac{13}{50} = 26\%$ which is greater than 25%.
• $\frac{3}{4} = 75\%$ which is greater than 25%.
• $34\%$ which is greater than 25%.
• $\frac{24}{100} = 24\%$ which is less than 25%.
• $0.28 = 28\%$ which is greater than 25%.

Thus, grouping these values gives us:

• Values greater than 25%: $\frac{13}{50}, \frac{3}{4}, 34\%, 0.28$
• Values less than 25%: $\frac{24}{100}$

Therefore, the correct answer is:

$\frac{13}{50},\frac{3}{4},34\%,0.28>25\%$$$

$\frac{24}{100}<25\%$