1. The problem is to convert the decimal numbers 0.9, 0.26, 0.45, 0.01, and 0.125 into their simplest fraction forms. 2. To convert a decimal to a fraction, write the decimal as a ratio of integers by placing the decimal number over a power of 10 corresponding to the number of decimal places. 3. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD). 4. Convert each decimal: - a) $0.9 = \frac{9}{10}$ (already in simplest form) - b) $0.26 = \frac{26}{100}$. GCD of 26 and 100 is 2, so simplify: $\frac{26 \div 2}{100 \div 2} = \frac{13}{50}$ - c) $0.45 = \frac{45}{100}$. GCD of 45 and 100 is 5, so simplify: $\frac{45 \div 5}{100 \div 5} = \frac{9}{20}$ - d) $0.01 = \frac{1}{100}$ (already simplest) - e) $0.125 = \frac{125}{1000}$. GCD of 125 and 1000 is 125, so simplify: $\frac{125 \div 125}{1000 \div 125} = \frac{1}{8}$ Final answers: - a) $\frac{9}{10}$ - b) $\frac{13}{50}$ - c) $\frac{9}{20}$ - d) $\frac{1}{100}$ - e) $\frac{1}{8}$