Gracie and Lizzie are comparing their grades they earned on their latest assignment in Math. Gracie earned 150200 and Lizzie earned 92%. Which student's grade is the highest? Write your answer as a percentage.

1 answer

To compare Gracie's grade of 150200 with Lizzie's grade of 92%, we need to interpret what Gracie's score means in terms of a percentage.

Assuming that the total score possible for the assignment is 200, we can calculate Gracie's percentage as follows:

\[ \text{Gracie's Percentage} = \left( \frac{\text{Gracie's Score}}{\text{Total Possible Score}} \right) \times 100 \]

Plugging in the numbers:

\[ \text{Gracie's Percentage} = \left( \frac{150200}{200} \right) \times 100 = 750100% \]

Now we can compare the two percentages:

  • Gracie's percentage: 750100%
  • Lizzie's percentage: 92%

Clearly, Gracie's grade is much higher than Lizzie's grade.