Classify Fractions and Percentages: Sorting Values Around 25%

Question

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

1350,34,34%,24100,0.28 \frac{13}{50},\frac{3}{4},34\%,\frac{24}{100},0.28

Video Solution

Step-by-Step Solution

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

  • 1350 \frac{13}{50} : Calculate as (1350)×100=26% \left(\frac{13}{50}\right) \times 100 = 26\% .
  • 34 \frac{3}{4} : Calculate as (34)×100=75% \left(\frac{3}{4}\right) \times 100 = 75\% .
  • 34% 34\% : This value is already in percentage form as 34%.
  • 24100 \frac{24}{100} : Calculate as (24100)×100=24% \left(\frac{24}{100}\right) \times 100 = 24\% .
  • 0.28 0.28 : Calculate as 0.28×100=28% 0.28 \times 100 = 28\% .

Now, we compare each percentage to 25%:

  • 1350=26%\frac{13}{50} = 26\% which is greater than 25%.
  • 34=75%\frac{3}{4} = 75\% which is greater than 25%.
  • 34%34\% which is greater than 25%.
  • 24100=24%\frac{24}{100} = 24\% which is less than 25%.
  • 0.28=28%0.28 = 28\% which is greater than 25%.

Thus, grouping these values gives us:

  • Values greater than 25%: 1350,34,34%,0.28 \frac{13}{50}, \frac{3}{4}, 34\%, 0.28
  • Values less than 25%: 24100 \frac{24}{100}

Therefore, the correct answer is:

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

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

Answer

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

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