Question

1. convert to a decimal: $\frac{9}{200}$
2. convert to a decimal: $\frac{4}{9}$
3. convert to a decimal: $\frac{4}{11}$
4. convert to a decimal: $\frac{2}{15}$
5. convert to a decimal: $2\frac{2}{5}$
6. convert to a decimal: $4\frac{3}{40}$
7. convert to a decimal: $\frac{5}{125}$
8. convert to a decimal: $3\frac{1}{2}$
9. convert to a decimal: $4\frac{1}{3}$
10. convert to a decimal: $\frac{1}{30}$
11. convert to a decimal: $\frac{5}{500}$
12. convert to a decimal: $10\frac{3}{8}$

Explanation:

Step1: Divide numerator by denominator

$\frac{9}{200} = 9 \div 200 = 0.045$

Step2: Divide numerator by denominator

$\frac{4}{11} = 4 \div 11 \approx 0.\overline{36}$

Step3: Convert mixed number then divide

$2\frac{2}{5} = 2 + \frac{2}{5} = 2 + (2 \div 5) = 2 + 0.4 = 2.4$

Step4: Divide numerator by denominator

$\frac{5}{125} = 5 \div 125 = 0.04$

Step5: Convert mixed number then divide

$4\frac{1}{3} = 4 + \frac{1}{3} = 4 + (1 \div 3) \approx 4.\overline{3}$

Step6: Divide numerator by denominator

$\frac{5}{500} = 5 \div 500 = 0.01$

Step7: Divide numerator by denominator

$\frac{4}{9} = 4 \div 9 \approx 0.\overline{4}$

Step8: Divide numerator by denominator

$\frac{2}{15} = 2 \div 15 \approx 0.1\overline{3}$

Step9: Convert mixed number then divide

$4\frac{3}{40} = 4 + \frac{3}{40} = 4 + (3 \div 40) = 4 + 0.075 = 4.075$

Step10: Convert mixed number then divide

$3\frac{1}{2} = 3 + \frac{1}{2} = 3 + (1 \div 2) = 3 + 0.5 = 3.5$

Step11: Divide numerator by denominator

$\frac{1}{30} = 1 \div 30 \approx 0.0\overline{3}$

Step12: Convert mixed number then divide

$10\frac{3}{8} = 10 + \frac{3}{8} = 10 + (3 \div 8) = 10 + 0.375 = 10.375$

Answer:

1. $0.045$
2. $0.\overline{36}$
3. $2.4$
4. $0.04$
5. $4.\overline{3}$
6. $0.01$
7. $0.\overline{4}$
8. $0.1\overline{3}$
9. $4.075$
10. $3.5$
11. $0.0\overline{3}$
12. $10.375$