Question

Prof. Barnes calculated the equivalent fraction of $3\frac{2}{3}$. Which of the following is not an equivalent fraction of $3\frac{2}{3}$?

• A. $\frac{55}{21}$
• B. $\frac{22}{6}$
• C. $\frac{44}{12}$
• D. $\frac{33}{9}$

Answer 1

The correct option is A $\frac{55}{21}$

First, let's covert the fraction $3\frac{2}{3}$ into an improper fraction.
$3\frac{2}{3}=\frac{(3\times 3)+2}{3}=\frac{9+2}{3}=\frac{11}{3}$
Some equivalent fractions of $11/3$ are:
$\frac{11\times 2}{3\times 2}=\frac{22}{6}$
$\frac{11\times 3}{3\times 3}=\frac{33}{9}$
$\frac{11\times 4}{3\times 4}=\frac{44}{12}$
$\frac{11\times 5}{3\times 5}=\frac{55}{15}$
So, $\frac{55}{21}$ is the only option that is not equivalent to $3\frac{2}{3}$.