Final answer:
The division equation 4/5 ÷ 2/3 can be rewritten as a multiplication equation by taking the reciprocal of the second fraction, resulting in the equation 4/5 × 3/2. The product is 12/10, which simplifies to 6/5 or 1 1/5.
Step-by-step explanation:
To convert a division equation into a corresponding multiplication equation, you can multiply by the reciprocal of the divisor. In the given division equation 4/5 ÷ 2/3, we need to change the division to multiplication by taking the reciprocal of the second fraction, which is 3/2.
Here is the corresponding multiplication equation: 4/5 × 3/2.
Next, to find the product of these two fractions, we multiply their numerators and then their denominators. This is because when you are multiplying fractions, you multiply the top numbers (numerators) and then multiply the bottom numbers (denominators).
The product of the numerators is 4 × 3 = 12, and the product of the denominators is 5 × 2 = 10. Therefore, the final answer to the multiplication equation 4/5 × 3/2 is the fraction 12/10, which can be simplified to 6/5 or 1 1/5.