1. **State the problem:** Evaluate the product of the fractions $\frac{37}{100}$ and $\frac{7}{10}$. 2. **Formula used:** To multiply two fractions, multiply the numerators together and the denominators together: $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ 3. **Apply the formula:** $$\frac{37}{100} \times \frac{7}{10} = \frac{37 \times 7}{100 \times 10}$$ 4. **Calculate numerator and denominator:** $$37 \times 7 = 259$$ $$100 \times 10 = 1000$$ 5. **Write the product:** $$\frac{259}{1000}$$ 6. **Simplify if possible:** 259 and 1000 have no common factors other than 1, so the fraction is already in simplest form. **Final answer:** $$\frac{259}{1000}$$