Solve the following. A. \( \frac{18}{10} \) B. \( \frac{18}{20} \) C. \( \frac{28}{10} \) D. \( \frac{38}{20} \)

Sure, let's simplify each of the given fractions and express them in their simplest forms, as mixed numbers, and as decimal equivalents. --- ### A. \( \frac{18}{10} \) 1. **Simplify the Fraction:** - **Common Divisor:** 2 - \( \frac{18 \div 2}{10 \div 2} = \frac{9}{5} \) 2. **Mixed Number:** - \( \frac{9}{5} = 1 \frac{4}{5} \) 3. **Decimal Equivalent:** - \( \frac{18}{10} = 1.8 \) --- ### B. \( \frac{18}{20} \) 1. **Simplify the Fraction:** - **Common Divisor:** 2 - \( \frac{18 \div 2}{20 \div 2} = \frac{9}{10} \) 2. **Mixed Number:** - \( \frac{9}{10} = 0 \frac{9}{10} \) (Since it's less than 1) 3. **Decimal Equivalent:** - \( \frac{18}{20} = 0.9 \) --- ### C. \( \frac{28}{10} \) 1. **Simplify the Fraction:** - **Common Divisor:** 2 - \( \frac{28 \div 2}{10 \div 2} = \frac{14}{5} \) 2. **Mixed Number:** - \( \frac{14}{5} = 2 \frac{4}{5} \) 3. **Decimal Equivalent:** - \( \frac{28}{10} = 2.8 \) --- ### D. \( \frac{38}{20} \) 1. **Simplify the Fraction:** - **Common Divisor:** 2 - \( \frac{38 \div 2}{20 \div 2} = \frac{19}{10} \) 2. **Mixed Number:** - \( \frac{19}{10} = 1 \frac{9}{10} \) 3. **Decimal Equivalent:** - \( \frac{38}{20} = 1.9 \) --- ### Summary | Fraction | Simplest Form | Mixed Number | Decimal | |----------|---------------|--------------|---------| | \( \frac{18}{10} \) | \( \frac{9}{5} \) | \(1 \frac{4}{5}\) | 1.8 | | \( \frac{18}{20} \) | \( \frac{9}{10} \) | \(0 \frac{9}{10}\) | 0.9 | | \( \frac{28}{10} \) | \( \frac{14}{5} \) | \(2 \frac{4}{5}\) | 2.8 | | \( \frac{38}{20} \) | \( \frac{19}{10} \) | \(1 \frac{9}{10}\) | 1.9 | If you have any further questions or need additional explanations, feel free to ask!