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.

See explanation

Step-by-step 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.

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step-by-step explanation:

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a negative exponent is translated as follows:

so, we have