Solved examples: Converting fractions to terminating decimals step-by-step.

📚 Quick Study Guide

• 🔢 A fraction can be expressed as a terminating decimal if its denominator (when in simplest form) only has prime factors of 2 and/or 5.
• ➗ To convert a fraction to a decimal, divide the numerator by the denominator.
• ✍️ Alternatively, try to rewrite the fraction with a denominator that is a power of 10 (10, 100, 1000, etc.).
• 🧮 Example: $\frac{3}{4}$ can be written as $\frac{75}{100}$, which is 0.75.
• 💡 If the division results in a remainder of zero, then the decimal terminates.

Practice Quiz

1. Which of the following fractions can be expressed as a terminating decimal?
1. A. $\frac{1}{3}$
2. B. $\frac{1}{6}$
3. C. $\frac{1}{8}$
4. D. $\frac{1}{7}$
2. What is the decimal representation of $\frac{3}{5}$?
1. A. 0.3
2. B. 0.5
3. C. 0.6
4. D. 0.7
3. Convert $\frac{7}{20}$ to a decimal.
1. A. 0.20
2. B. 0.35
3. C. 0.70
4. D. 0.77
4. Which fraction is equivalent to the terminating decimal 0.125?
1. A. $\frac{1}{4}$
2. B. $\frac{1}{6}$
3. C. $\frac{1}{8}$
4. D. $\frac{1}{10}$
5. Express $\frac{13}{50}$ as a decimal.
1. A. 0.13
2. B. 0.26
3. C. 0.50
4. D. 1.3
6. What is the decimal form of $\frac{11}{25}$?
1. A. 0.11
2. B. 0.22
3. C. 0.44
4. D. 0.50
7. Determine the decimal equivalent of $\frac{17}{40}$.
1. A. 0.17
2. B. 0.425
3. C. 0.68
4. D. 1.7