1. **State the problem:** We need to find how many times deeper Karim is compared to Rami based on their depths.
2. **Given data:**
- Rami's depth: $-2.4$ meters
- Karim's depth: $-7 \frac{1}{5}$ meters
3. **Convert mixed fraction to decimal:**
$$-7 \frac{1}{5} = -7 - \frac{1}{5} = -7 - 0.2 = -7.2$$
4. **Understand the problem:** Depths are negative because they represent meters below the surface. To find how many times deeper Karim is than Rami, we compare the absolute values of their depths.
5. **Calculate the ratio:**
$$\text{Times deeper} = \frac{|\text{Karim's depth}|}{|\text{Rami's depth}|} = \frac{7.2}{2.4}$$
6. **Simplify the ratio:**
$$\frac{7.2}{2.4} = 3$$
7. **Conclusion:** Karim is 3 times deeper than Rami.
**Final answer:** Karim is 3 times deeper than Rami.
Depth Ratio
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