Question

Clare said that (4/3) / (5/2) is (10/3). She reasoned: (4/3) ⋅ 5 = (20/3) and (20/3) 2 = (10/3).

Answer 1

To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. Clare's reasoning is incorrect, and the correct answer is 8/15.

Step-by-step explanation:

Clare's reasoning is incorrect. To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. So, (4/3) / (5/2) is equal to (4/3) * (2/5). Multiplying the numerators gives you 8, and multiplying the denominators gives you 15. Therefore, (4/3) / (5/2) is equal to 8/15.