Question

Carson evaluated 23÷34 and got an answer of 89. Which statement is true about his answer? CLEAR CHECK It is incorrect, because thirds and quarters cannot combine to make ninths. It is incorrect, because a quotient cannot be greater than the number that is being divided. It is correct because 89⋅34=23 It is correct because 34 of 23 is 89

Answer 1

Correction

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Answer:

It is correct because $\frac{8}{9}\times \frac{3}{4}=\frac{2}{3}$

Step-by-step explanation:

-This is a problem involving division of fractions.

-When diving fractions, we multiply the first fraction(dividend) by the reciprocal of the second fraction(divisor).

-We calculate the given values as:

$\frac{2}{3}\div\frac{3}{4}=\frac{2}{3}\times \frac{4}{3}\\\\=\frac{8}{9}$

Hence, the resulting quotient from the division is $\frac{8}{9}$