1. **Stating the problem:** Vic weighs $83\frac{3}{4}$ kg initially. After exercising, his weight reduces by $\frac{1}{8}$ of his original weight. We need to find his new weight. 2. **Convert the mixed fraction to improper fraction:** $$83\frac{3}{4} = 83 + \frac{3}{4} = \frac{83 \times 4}{4} + \frac{3}{4} = \frac{332}{4} + \frac{3}{4} = \frac{335}{4}$$ 3. **Calculate the weight reduction:** $$\text{Weight loss} = \frac{1}{8} \times \frac{335}{4} = \frac{335}{32}$$ 4. **Calculate the new weight by subtracting the weight loss from the original weight:** $$\text{New weight} = \frac{335}{4} - \frac{335}{32}$$ To subtract, get common denominator 32: $$\frac{335}{4} = \frac{335 \times 8}{32} = \frac{2680}{32}$$ So: $$\text{New weight} = \frac{2680}{32} - \frac{335}{32} = \frac{2345}{32}$$ 5. **Convert the improper fraction back to a mixed number:** Divide 2345 by 32: $$2345 \div 32 = 73 \text{ remainder } 9$$ So: $$\frac{2345}{32} = 73 \frac{9}{32}$$ 6. **Final answer:** Vic now weighs **$73\frac{9}{32}$ kg** after exercising.