# Test Scores

## An Advanced Mathematics Lesson Starter Of The Day

Do you know how to add fractions?

Sam scored $$\frac{7}{10}$$ on paper 1 and $$\frac{8}{10}$$ on paper 2.

What is Sam’s overall exam score?

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Topics: Starter

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This starter has scored a mean of 2.0 out of 5 based on 1 votes.

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This Starter is intended to make students think about the meaning of fractions. The question the teacher might ask is why the normal rules of adding fractions don't apply here.

$$\frac{7}{10} + \frac{8}{10} = \frac{15}{10}$$  but the overall test score is $$\frac{15}{20}$$. This apparently supports the misconception that when adding fractions you add both the numerators and the denominators.

Transum,

Tuesday, August 28, 2018

"It is a common misconception that when adding fractions you add together both the numerators and denominators. Can you explain why that incorrect method seems to work in this situation?"

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