1. The problem is to compare the two fractions $\frac{4}{17}$ and $\frac{7}{10}$. 2. To compare fractions, we can find a common denominator or convert them to decimals. 3. Convert $\frac{4}{17}$ to a decimal: $$\frac{4}{17} \approx 0.2353$$ 4. Convert $\frac{7}{10}$ to a decimal: $$\frac{7}{10} = 0.7$$ 5. Since $0.2353 < 0.7$, we conclude that $$\frac{4}{17} < \frac{7}{10}$$. Final answer: $\frac{4}{17} < \frac{7}{10}$