Compare Numbers with 1/5: Sorting Fractions, Decimals, and Percentages

To solve this problem, we'll follow these steps:

• Step 1: Convert all parts to decimals.

• Step 2: Compare each decimal to $0.2$ (the decimal form of $\frac{1}{5}$).

• Step 3: Organize the values based on whether they are greater or lesser than $0.2$.

Now, let's work through each step:

Step 1: Convert each value to a decimal.

• $\frac{5}{100} = 0.05$

• $24\% = 0.24$

• $50\% = 0.5$

• $\frac{1}{4} = 0.25$

• $0.5 = 0.5$

Step 2: Compare each decimal to $0.2$.

• $0.05 < 0.2$

• $0.24 > 0.2$

• $0.5 > 0.2$

• $0.25 > 0.2$

• $0.5 > 0.2$

Step 3: Group the values:

• Parts less than $\frac{1}{5}$: $\frac{5}{100}$

• Parts greater than $\frac{1}{5}$: $24\%, 50\%, \frac{1}{4}, 0.5$

Therefore, the correct arrangement is:

$\frac{5}{100}<\frac{1}{5}$

$24\%,50\%,\frac{1}{4},0.5>\frac{1}{5}$