in the school's annual tri-athletes were required to cycle 3/1/3km, swin 2/1/2km and jog 1/2/5km what is the total distance they must cover

To find the total distance that the tri-athletes must cover, you need to add up the distances for cycling, swimming, and jogging.

The given distances are:

- Cycling: \( \frac{3}{1/3} \) km
- Swimming: \( \frac{2}{1/2} \) km
- Jogging: \( \frac{1}{2/5} \) km

However, these fractions seem incorrectly formatted. I will assume you meant:

- Cycling: \( 3 \frac{1}{3} \) km
- Swimming: \( 2 \frac{1}{2} \) km
- Jogging: \( 1 \frac{2}{5} \) km

### Step 1: Convert mixed fractions to improper fractions.

- Cycling: \( 3 \frac{1}{3} = \frac{10}{3} \) km
- Swimming: \( 2 \frac{1}{2} = \frac{5}{2} \) km
- Jogging: \( 1 \frac{2}{5} = \frac{7}{5} \) km

### Step 2: Add the distances.

To add these, you can convert them to a common denominator or directly sum them as decimals.

Let's convert them to decimals first:

- Cycling: \( \frac{10}{3} \approx 3.33 \) km
- Swimming: \( \frac{5}{2} = 2.5 \) km
- Jogging: \( \frac{7}{5} = 1.4 \) km

Now, add these:

\[
3.33 + 2.5 + 1.4 = 7.23 \text{ km}
\]

So, the total distance they must cover is **7.23 km**.

Would you like further details or have any questions? Here are some related questions:

1. How can you add fractions with different denominators?
2. What is the significance of mixed numbers in real-life situations?
3. Can you explain the concept of improper fractions and their uses?
4. How does converting fractions to decimals simplify calculations?
5. What other real-life scenarios involve mixed fractions?

**Tip:** Always double-check how fractions and mixed numbers are formatted in word problems to avoid confusion!

In the school's annual tri-athletes were required to cycle 3/1/3km, swim 2/1/2km and jog 1/2/5km. What is the total distance they must cover?

Learn how to calculate the total distance covered in a triathlon by adding mixed fractions for cycling, swimming, and jogging. This problem involves converting mixed fractions to improper fractions and adding decimals, suitable for students in Grades 5-7.

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