There are 61 counters in a bag.42 of them are blue.What fraction of the counters are not blue

1. ### Break Down the Problem

To find the fraction of the counters that are not blue, we need to:

1. Determine the number of counters that are not blue.
2. Calculate the fraction of counters that are not blue compared to the total number of counters.

2. ### Relevant Concepts

• Total number of counters = 61
• Number of blue counters = 42
• Number of counters that are not blue = Total counters - Blue counters

3. ### Analysis and Detail

1. Calculate the number of counters that are not blue: $\text{Number of not blue counters} = 61 - 42 = 19$

2. Now, calculate the fraction of counters that are not blue: $\text{Fraction of not blue counters} = \frac{\text{Number of not blue counters}}{\text{Total number of counters}} = \frac{19}{61}$

4. ### Verify and Summarize

• We have determined that there are 19 counters that are not blue.
• The total number of counters is 61.
• Thus, the fraction of not blue counters is correctly calculated as $\frac{19}{61}$.

Final Answer

The fraction of counters that are not blue is $\frac{19}{61}$.