A student divided a number by 3/2 instead of multiplying it by 2/3. What…
2021
A student divided a number by 3/2 instead of multiplying it by 2/3. What percentage error is in the calculation?
- A.
125%
- B.
80%
- C.
25%
- D.
0%
Attempted by 47 students.
Show answer & explanation
Correct answer: D
Let the number be x. The correct operation is multiplying by 2/3, which gives (2/3)x. Dividing by 3/2 is equivalent to multiplying by its reciprocal, which is also 2/3. Thus, the incorrect operation yields (2/3)x as well. Since the result is identical to the correct calculation, there is no error, and the percentage error is 0%.