The first step in finding a common denominator is to find the Least Common Multiple of both denominators. The least common multiple of 3 and 8 is 24.
This means both denominators can now be replaced by 24.
[tex]\begin{gathered} \frac{2}{3}\text{ now becomes } \\ \frac{(24\text{ / 3)x2}}{24} \\ =\frac{8\times2}{24} \\ =\frac{16}{24} \\ \frac{3}{8}\text{ now becomes,} \\ \frac{(24\text{ / 8)x3}}{24} \\ =\frac{3\times3}{24} \\ =\frac{9}{24} \end{gathered}[/tex]The equivalent fraction for 2/3 is 16/24
The equivalent fraction for 3/8 is 9/24
