Compare Mixed Numbers: Sorting Fractions, Decimals, and Percentages Around 12%

Organise the following into two groups of values less than 12% and values greater than 12%.

11100,0.1,0.13,640,20% \frac{11}{100},0.1,0.13,\frac{6}{40},20\%

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Sorted into 2 groups
00:03 First, we'll convert percentages to fractions and decimal numbers, so we can compare
00:13 Now we'll sort each option as greater or less than the given value
01:07 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Organise the following into two groups of values less than 12% and values greater than 12%.

11100,0.1,0.13,640,20% \frac{11}{100},0.1,0.13,\frac{6}{40},20\%

2

Step-by-step solution

12%=12100=0.12 12\%=\frac{12}{100}=0.12

Now we will convert all values into percentages and see which are greater and which are less than 12%.

640×2.52.5=15100=15% \frac{6}{40}\times\frac{2.5}{2.5}=\frac{15}{100}=15\%

11100=11% \frac{11}{100}=11\%

0.1=10100=10% 0.1=\frac{10}{100}=10\%

0.13=13100=13% 0.13=\frac{13}{100}=13\%

Now we can observe which are greater and less than 12%.

3

Final Answer

0.13,640,20%>12% 0.13,\frac{6}{40},20\%>12\%

11100,0.1<12% \frac{11}{100},0.1<12\%

Practice Quiz

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Approximately what is \( \frac{11}{50} \) written as a percentage?

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