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

Question

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

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

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

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

$\frac{6}{40}\times\frac{2.5}{2.5}=\frac{15}{100}=15\%$

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

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

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

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

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

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