The given subraction is:
[tex]\frac{5}{8}-\frac{5}{12}[/tex]
The LCD is the LCM of the denominator. so the LCD is found as follows:
[tex]\begin{gathered} 8=4\times2 \\ 12=4\times3 \end{gathered}[/tex]
LCM is common multiplied by the uncommon factors of the two denominators so the LCD is:
[tex]\text{LCD}=4\times2\times3=24[/tex]
The fraction is solved as follows:
[tex]\begin{gathered} \frac{5}{8}-\frac{5}{12}=\frac{5\times3}{8\times3}-\frac{5\times2}{12\times2} \\ =\frac{15}{24}-\frac{10}{24} \\ =\frac{5}{24} \end{gathered}[/tex]
Hence the LCD is 24 and the answer is option E which is 5/24.
