Question

Arianna solved a fraction division problem using the rule "multiply by the reciprocal." Her work is shown below. Two-thirds divided by StartFraction 4 Over 5 EndFraction. Two-thirds times StartFraction 4 Over 5 EndFraction = StartFraction 8 Over 15 EndFraction Which is the most accurate description of Arianna's work? Arianna solved the problem correctly. Arianna multiplied the dividend by the divisor instead of finding the reciprocal. Arianna multiplied the denominators instead of finding a common denominator. Arianna multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Answer 1

Arianna multiplied the dividend by the divisor instead of finding the reciprocal.

Explanation:

The fraction division problem Arianna solved is
`(2)/(3)/ (4)/(5)`

Adrianna's next step is
`(2)/(3)* (4)/(5)`

We are supposed to choose from the options the most accurate description of Arianna's work.

The mistake Arianna committed is that, she did not reciprocate the
`(4)/(5)` before multiplying.

Therefore the correct answer is:

Arianna multiplied the dividend by the divisor instead of finding the reciprocal.