Amaya wants to jog 8 miles this week. she jogged 2 1/2 miles on Monday and 3 2/5 on Tuesday. How many miles does Amaya still need to jog to meet her goal

To find out how many miles Amaya still needs to jog, we first need to determine the total distance she has already jogged and then subtract that from her goal of 8 miles.

1. **Convert the fractions to improper fractions**:
   - \( 2 \frac{1}{2} \) = \( \frac{5}{2} \)
   - \( 3 \frac{2}{5} \) = \( \frac{17}{5} \)

2. **Find a common denominator** to add the fractions:
   - The least common denominator (LCD) of 2 and 5 is 10.

   Convert each fraction:
   - \( \frac{5}{2} = \frac{25}{10} \)
   - \( \frac{17}{5} = \frac{34}{10} \)

3. **Add the fractions**:
   \[
   \frac{25}{10} + \frac{34}{10} = \frac{59}{10} = 5.9 \text{ miles}
   \]

   So, Amaya has jogged 5.9 miles so far.

4. **Subtract from the total goal**:
   \[
   8 - 5.9 = 2.1 \text{ miles}
   \]

Amaya still needs to jog **2.1 miles** to meet her goal.

Would you like a detailed explanation of any part? Here are some related questions:

1. How do you convert mixed numbers to improper fractions?
2. What is the importance of finding a common denominator when adding fractions?
3. How can you use decimal equivalents of fractions in calculations?
4. How do you subtract decimal numbers effectively?
5. What are some strategies for keeping track of progress toward goals?

**Tip:** When dealing with fractions in calculations, converting them to decimals can often simplify the process, especially if you have a calculator handy.

Find out how many miles Amaya still needs to jog to meet her weekly goal. Includes step-by-step calculation of fractions and subtraction. Suitable for Grades 4-6.

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