https://file.aiquickdraw.com/mathbot/file/1730226134650vvamy80a.jpg

https://file.aiquickdraw.com/mathbot/file/173022613465561yktxu2.jpg

Let's work through each of the questions from the images:

### First image:
#### Question 3: 
Change the fraction \(-3\frac{7}{20}\) into a decimal using long division.

Steps:
1. Convert the mixed number \(-3\frac{7}{20}\) into an improper fraction. This becomes:
   \[
   -3\frac{7}{20} = -3 - \frac{7}{20} = -3 - 0.35 = -3.35
   \]
   
Thus, the correct answer is \(-3.35\), which matches option **3.350** (third choice).

#### Question 4:
Solve the word problem:
Erin ran a mile in 7.5 minutes on Monday and 6.9 minutes on Tuesday. What is the average time for a mile over those two days, expressed as a fraction?

Steps:
1. Add the total time for both days: 
   \[
   7.5 + 6.9 = 14.4 \text{ minutes}
   \]
2. Divide by 2 to get the average time:
   \[
   \frac{14.4}{2} = 7.2 \text{ minutes}
   \]
The average time is 7.2 minutes. To express 7.2 as a fraction:
   \[
   7.2 = 7 \frac{1}{5} = \frac{36}{5}
   \]
Thus, the average time is \(\frac{36}{5}\).

### Second image:
#### Question 1:
Select the correct decimal with bar notation for \(5.2333\ldots\) (repeating decimal).

The correct answer is the decimal where the repeating portion \(3\) is indicated with a bar, written as \(5.\overline{23}\). Thus, the correct answer is **5.\overline{23}** (first option).

#### Question 2:
Change the fraction \(\frac{1}{9}\) into a decimal using long division.

Steps:
1. Perform long division of 1 divided by 9. This results in:
   \[
   \frac{1}{9} = 0.\overline{1}
   \]
The repeating decimal is \(0.\overline{1}\), so the correct answer is **0.\overline{1}** (second option).

Would you like more details or have any questions on these solutions?

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Here are five related questions you might want to explore:
1. How do you express a mixed number as a decimal?
2. What is the process for converting repeating decimals to fractions?
3. How can you find the average of three or more times?
4. How do you simplify fractions to their lowest terms?
5. What are other methods to solve word problems involving rates or averages?

**Tip:** When dealing with repeating decimals, remember that the bar notation only covers the digits that repeat, and this helps avoid confusion when writing or interpreting them!

Convert fractions to decimals and solve word problems involving average time calculations.

Learn how to convert fractions to decimals using long division, including working with repeating decimals. Understand how to find the average time for a mile run with examples. Suitable for Grade 6-8 students.

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