A Student Divided A Number By 2/3 When He Required To Multiply By 3/2. Calculate The Percentage Of Error In His Result?

Percentage error is the error result minus the correct result, divided by the correct result and multiplied by 100. Let the original number be x.

Error = 100((3x/2)-(3x/2))/(3x/2)
  = 100(0)/(3x/2)
  = 0/(3x/2)
  = 0%

The error percentage is zero because dividing by 2/3 is the same as multiplying by 3/2. The student did not make an error.