A class consists of 13 freshman, 16 sophomores, and 16 juniors, the rest are seniors. What fraction of the class is seniors?

Step 1 A class consists of 13 freshman, 16 sophomores, and 16 juniors, the rest are seniors. Sum up all the fractions, we have 13+16+2+1+16 =46 =23 As the rest are seniors, we obtain the seniors fraction as follows: 1−23=13 Hence, the fraction of the class that is senior is 13

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High School
Algebra
Pre-Algebra
Fractions

shadsiei

Answered question

2021-10-18

A class consists of

\frac{1}{3}

freshman,

\frac{1}{6}

sophomores, and

\frac{1}{6}

juniors, the rest are seniors. What fraction of the class is seniors?

Answer & Explanation

irwchh

Skilled2021-10-19Added 102 answers

Step 1
A class consists of $\frac{1}{3}$ freshman, $\frac{1}{6}$ sophomores, and $\frac{1}{6}$ juniors, the rest are seniors.
Sum up all the fractions, we have
$\frac{1}{3} + \frac{1}{6} + \frac{2 + 1 + 1}{6}$
$= \frac{4}{6}$
$= \frac{2}{3}$
As the rest are seniors, we obtain the seniors fraction as follows:
$1 - \frac{2}{3} = \frac{1}{3}$
Hence, the fraction of the class that is senior is $\frac{1}{3}$

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