1. The problem is to express the decimal number 1.375 as a fraction. 2. Recall that a decimal can be converted to a fraction by writing it over a power of 10. Since 1.375 has three decimal places, we write: $$1.375 = \frac{1375}{1000}$$ 3. Next, simplify the fraction by finding the greatest common divisor (GCD) of 1375 and 1000. - The GCD of 1375 and 1000 is 125. 4. Divide numerator and denominator by 125: $$\frac{1375 \div 125}{1000 \div 125} = \frac{11}{8}$$ 5. Therefore, the decimal 1.375 equals the fraction $\frac{11}{8}$. 6. To express $\frac{11}{8}$ as a mixed number, divide 11 by 8: - $11 \div 8 = 1$ remainder $3$ - So, $\frac{11}{8} = 1 \frac{3}{8}$. Final answer: $1.375 = \frac{11}{8} = 1 \frac{3}{8}$