Question

Fill in the blanks:

$\frac{1}{2}$, $\frac{2}{3}$, $\frac{3}{4}$, $\frac{5}{4}$

Smallest fraction $=$ ____

Biggest fraction $=$ ____

• A. $\frac{1}{2}$
• B. $\frac{5}{4}$

Answer 1

• Step 1: The least common denominator (LCD) of $2$, $3$ and $4$ is $12$. Make the denominator as $12$ for all the fractions.

$\frac{1}{2}=\frac{1\times 6}{2\times 6}=\frac{6}{12}$;

$\frac{2}{3}=\frac{2\times 4}{3\times 4}=\frac{8}{12}$;

$\frac{3}{4}=\frac{3\times 3}{4\times 3}=\frac{9}{12}$;

$\frac{5}{4}=\frac{5\times 3}{4\times 3}=\frac{15}{12}$

• Step 2: The fraction with the smallest numerator will be the smallest fraction and the fraction with the greatest numerator will be the biggest fraction.
• Step 3: The smallest fraction is $\frac{6}{12}$ and the biggest fraction is $\frac{15}{12}$.
• So, the smallest fraction is $\frac{1}{2}$ and the greatest fraction is $\frac{5}{4}$.