1. **State the problem:** We need to put the fractions $\frac{47}{100}$, $\frac{9}{20}$, and $\frac{4}{10}$ in ascending order. 2. **Find a common denominator:** To compare fractions, convert them to have the same denominator. The denominators are 100, 20, and 10. The least common denominator (LCD) is 100. 3. **Convert each fraction:** - $\frac{47}{100}$ is already with denominator 100. - $\frac{9}{20} = \frac{9 \times 5}{20 \times 5} = \frac{45}{100}$. - $\frac{4}{10} = \frac{4 \times 10}{10 \times 10} = \frac{40}{100}$. 4. **Compare the numerators:** - $40 < 45 < 47$ 5. **Write the fractions in ascending order:** $$\frac{4}{10} < \frac{9}{20} < \frac{47}{100}$$ **Final answer:** $\frac{4}{10}, \frac{9}{20}, \frac{47}{100}$