Final answer:
To divide 8 over 9 by 1 over 3, you multiply 8/9 by the reciprocal of 1/3, which is 3. The result is 24/9, which simplifies to 8/3 or 2 and 2/3.
Step-by-step explanation:
When the problem states 8 over 9 divided by 1 over 3, we are being asked to divide one fraction by another. In mathematical terms, this means we need to multiply by the reciprocal of the divisor. When dividing by a fraction, such as 1/3, this is the same as multiplying by its reciprocal, which is 3/1. Thus, our operation becomes multiplication:
To solve the problem:
- Write down the problem: (8/9) ÷ (1/3)
- Change the division to multiplication by flipping the second fraction to its reciprocal: (8/9) × (3/1)
- Multiply the numerators together: 8 × 3 = 24
- Multiply the denominators together: 9 × 1 = 9
- So the answer is: 24/9, which can be simplified to 8/3 or 2 whole and 2/3.
Therefore, 8 over 9 divided by 1 over 3 is equal to 8/3 or 2 and 2/3.