To simplify the division of fractions, we need to multiply by the reciprocal of the second fraction. So, instead of dividing by 2/3, we multiply by its reciprocal, which is 3/2.
Here’s how it works:
- Start with the division: (3/7) ÷ (2/3).
- Change the division to multiplication: (3/7) × (3/2).
- Now multiply the numerators: 3 × 3 = 9.
- Then multiply the denominators: 7 × 2 = 14.
So, we have 9/14.
This fraction cannot be simplified further, so the simplified answer to 3/7 divided by 2/3 is 9/14.