Respuesta :
Answer:
Correct quotient =
[tex]\dfrac{8}{15}[/tex]
Step-by-step explanation:
We are given he following in the question:
[tex]\text{Clare's calculation:}\\\\\dfrac{4}{3}\div \dfrac{5}{2} = \dfrac{10}{3}\\\\\text{Clare's reason:}\\\\\dfrac{4}{3}\times 5 = \dfrac{20}{3}, \dfrac{20}{3} \div 2 = \dfrac{10}{3}[/tex]
Clare's, reason is incorrect.
The correct quotient can be calculated in the following manner:
[tex]\dfrac{4}{3}\div \dfrac{5}{2}\\\\= \dfrac{4}{3}\times \dfrac{2}{5} = \dfrac{8}{15}[/tex]
Clare simply multiplied the fraction with 5 and divided the product with 2 which is incorrect. We have to multiply the fraction with the reciprocal of divisor.
Answer:
The answer is 8/15
Step-by-step explanation:
4/3 divided by 5/2 is the same as 4/3 times 2/5
4/3 times 2/5= 8/15
8/15 is the answer
She is wrong because if you want to do it you have to multiply the fraction with 5 and then MULTIPLY it by 2 not divide it by 2.
