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

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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.

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