Question

Clare said that 4/3 divided by 5/2 is 10/3 She reasoned: 4/3 x 5 equals 20/3 and 20/3 divided by 2 is 10/3 Explain why Clare's answer and reasoning are incorrect. Find the correct quotient.

Answer 1

Answer: See explanation

Explanation:

4/3 ÷ 5/2

To solve this further, the minus sign changes to multiplication and the inverse of 5/2 is written. This will be:

= 4/3 ÷ 5/2

= 4/3 × 2/5

= 8/15

Claire's reasoning is wrong as she didn't multiply by the inverse of the number.