Find two fractions between 12 and 67

Step 1
The fractions given are ${\displaystyle \frac{1}{2}\text{ \& }\frac{6}{7}}$
Step 2
The fractions are ${\displaystyle \frac{1}{2}\text{ \& }\frac{6}{7}}$
The least common denominator of 2 and 7 is 14
${\displaystyle \frac{1}{2}=\frac{1\times 7}{2\times 7}}$ ${\displaystyle \frac{1}{2}=\frac{7}{14}}$
Also
${\displaystyle \frac{6}{7}=\frac{6\times 2}{7\times 2}}$
${\displaystyle \frac{6}{7}=\frac{12}{14}}$
The fractions between ${\displaystyle \frac{7}{14}\text{ \& }\frac{6}{7}=\frac{12}{14}\text{ are }\frac{1}{2}=\frac{7}{14}<\frac{8}{14}<\frac{9}{14}<\frac{10}{14}<\frac{11}{14}<\frac{12}{14}=\frac{6}{7}}$
Therefore, the fractions between ${\displaystyle \frac{1}{2}\text{ \& }\frac{6}{7}\text{ are }\frac{8}{14},\frac{9}{14},\frac{10}{14}\text{ \& }\frac{11}{14}}$