Question

What fraction of the pizza slices would each person get if 20 pizza slices is distributed equally among 12 people?

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

Answer 1

The correct option is A $1\frac{2}{3}$

Number of pizza slices $=20$
Number of people $=12$
Divide the 20 pizza slices equally among 12 people.

Each person would get $\frac{20}{12}$ of the pizza slices.
Simplify the fraction $\frac{20}{12}$
$\frac{20}{12}=\frac{4\times 5}{4\times 3}=\frac{5}{3}$
Now, divide 5 by 3
Divisor = 3
Quotient = 1
Remainder = 2

$\therefore \frac{20}{12}=\frac{5}{3}$ can be written as $\text{quotient}\frac{\text{remainder}}{\text{divisor}}$ i.e. $1\frac{2}{3}$

Each person would get $1\frac{2}{3}$ slices of pizza.