To convert the mixed number 4 2/3 into improper fractions, follow these steps:
1. **Multiply the whole number by the denominator:**
4 (whole number) × 3 (denominator) = 12
2. **Add the numerator to the result:**
12 + 2 (numerator) = 14
3. **Place the result over the original denominator:**
14/3
So, one improper fraction for 4 2/3 is 14/3.
To find other improper fractions equivalent to 14/3, you can multiply both the numerator and the denominator by the same number. Here are two more examples:
– Multiply by 2: (14 × 2)/(3 × 2) = 28/6
– Multiply by 3: (14 × 3)/(3 × 3) = 42/9
Therefore, three improper fractions for 4 2/3 are 14/3, 28/6, and 42/9.