High School

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If a student answered 69 exam questions correctly out of 100, what fraction and what percentage of questions did the student answer incorrectly? Choose two answers.

A. [tex]\frac{69}{100}[/tex]
B. 31%
C. 69%
D. [tex]\frac{34}{100}[/tex]
E. [tex]\frac{30}{100}[/tex]
F. 0.69%

Answer :

The student answered 69 questions correctly out of 100. This means the number of incorrect answers is

[tex]$$
100 - 69 = 31.
$$[/tex]

Thus, the fraction of questions answered incorrectly is

[tex]$$
\frac{31}{100},
$$[/tex]

and as a percentage this is

[tex]$$
\frac{31}{100}\times 100\% = 31\%.
$$[/tex]

So the student answered [tex]$\frac{31}{100}$[/tex] of the questions incorrectly, which is equivalent to [tex]$31\%$[/tex].

The two answers are:

- Fraction: [tex]$\frac{31}{100}$[/tex]
- Percentage: [tex]$31\%$[/tex]

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