Organize Decimals and Fractions: Sorting Numbers Above and Below 60%

Organise the following into two groups of parts greater than 60% and parts less than 60%:

$0.7,\frac{67}{100},\frac{59}{100},0.2,\frac{4}{5}$

To categorize the numbers based on being greater than or less than 60%, we will first convert the fractions into decimals:

• $0.7$ is already a decimal, equivalent to $70\%$, which is greater than $60\%$.
• $\frac{67}{100} = 0.67$, equivalent to $67\%$, which is greater than $60\%$.
• $\frac{59}{100} = 0.59$, equivalent to $59\%$, which is less than $60\%$.
• $0.2$ is already a decimal, equivalent to $20\%$, which is less than $60\%$.
• $\frac{4}{5} = 0.8$, equivalent to $80\%$, which is greater than $60\%$.

Based on these conversions and comparisons, we organize them into two groups:

The numbers less than $60\%$ are $0.2$ and $\frac{59}{100}$.

The numbers greater than $60\%$ are $0.7$, $\frac{67}{100}$, and $\frac{4}{5}$.

Rechecking our work against the answer choices given confirms that the correct grouping is choice 3. Therefore, the solution is as follows:

$0.2,\frac{59}{100}<60\%$

$0.7,\frac{67}{100},\frac{4}{5}>60\%$