Subjects algebra

Depth Ratio

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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.