Question

Fill in the blanks:

$\frac{2}{3}$, $\frac{3}{3}$, $\frac{4}{5}$, $\frac{6}{7}$

Smallest fraction $=$ ____

Biggest fraction $=$ ____

• A. $\frac{2}{3}$
• B. $\frac{3}{3}$

Answer 1

• Step 1: The least common denominator (LCD) of $3$, $5$ and $7$ is $105$. Make the denominator as $105$ for all the fractions.

$\frac{2}{3}=\frac{2\times 35}{3\times 35}=\frac{70}{105}$;

$\frac{3}{3}=\frac{3\times 35}{3\times 35}=\frac{105}{105}$;

$\frac{4}{5}=\frac{4\times 21}{5\times 21}=\frac{84}{105}$;

$\frac{6}{7}=\frac{6\times 15}{7\times 15}=\frac{90}{105}$

• 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 $\frac{70}{105}$ and the biggest fraction is $\frac{105}{105}$.
• So, the smallest fraction is $\frac{2}{3}$ and the greatest fraction is $\frac{3}{3}$.