Question

In mathematics, $\frac{1}{3}$ of the students in a class scored more than 80 points. What fraction of students scored 80 or lower?

• A. $\frac{2}{3}$
• B. $\frac{1}{3}$
• C. 1
• D. $\frac{4}{3}$

Answer 1

The correct option is A $\frac{2}{3}$

Fraction of students got more than 80 $=\frac{1}{3}$
Fraction of students got less than 80 $=1-\frac{1}{3}$

To make the subtraction easy, we can write 1 as $1=\frac{3}{3}$
$\therefore$ $\frac{3}{3}-\frac{1}{3}$

As these fractions are like fractions, subtract the numerators only, and the denominators remains the same.

$=\frac{3}{3}-\frac{1}{3}=\frac{3-1}{3}=\frac{2}{3}$

Hence, Fraction of students got less than 80 $\frac{2}{3}$