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

Question

Organise the following into two groups of parts greater than 15 \frac{1}{5} and parts less than 15: \frac{1}{5}:

5100,24%,50%,14,0.5 \frac{5}{100},24\%,50\%,\frac{1}{4},0.5

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert all parts to decimals.

  • Step 2: Compare each decimal to 0.2 0.2 (the decimal form of 15 \frac{1}{5} ).

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

Now, let's work through each step:

Step 1: Convert each value to a decimal.

  • 5100=0.05 \frac{5}{100} = 0.05

  • 24%=0.24 24\% = 0.24

  • 50%=0.5 50\% = 0.5

  • 14=0.25 \frac{1}{4} = 0.25

  • 0.5=0.5 0.5 = 0.5

Step 2: Compare each decimal to 0.2 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 15 \frac{1}{5} : 5100 \frac{5}{100}

  • Parts greater than 15 \frac{1}{5} : 24%,50%,14,0.5 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}

Answer

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

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