Final answer:
To convert improper fractions to mixed numbers, divide the numerator by the denominator. To convert mixed numbers to improper fractions, multiply the whole number by the denominator and add the numerator. Examples include converting 23/5 to 4 3/5 and 3 3/4 to 15/4.
Step-by-step explanation:
To convert between improper fractions and mixed numbers, we either divide the numerator by the denominator (for improper fractions to mixed numbers) or multiply the whole number by the denominator and add the numerator (for mixed numbers to improper fractions).
- 23/5 as a mixed number: Divide 23 by 5. We get 4 with a remainder of 3. So it's 4 3⁄5.
- 20/12 as a mixed number: Simplified, it's 1 2⁄3.
- 3 3/4 as an improper fraction: 3 times 4 plus 3 equals 15. So it's 15/4.
- 4 7/15 as an improper fraction: 4 times 15 plus 7 equals 67. So it's 67/15.
- 18/8 as a mixed number: It simplifies to 2 1⁄4.
- 45/18 as a mixed number: It simplifies to 2 1⁄2.
- 8 3/10 as an improper fraction: 8 times 10 plus 3 equals 83. So it's 83/10.
- 1 11/12 as an improper fraction: 1 times 12 plus 11 equals 23. So it's 23/12.