Use this multiple method to find the LCD and then find the sum or difference

Question

asked Jun 7, 2023 56.6k views

1 Answer

Abdul Qadir Memon · Answer 1 · 2023-06-13T23:41:05+0000

The given subraction is:

The LCD is the LCM of the denominator. so the LCD is found as follows:

$\begin{gathered} 8=4*2 \\ 12=4*3 \end{gathered}$

LCM is common multiplied by the uncommon factors of the two denominators so the LCD is:

$\text{LCD}=4*2*3=24$

The fraction is solved as follows:

$\begin{gathered} (5)/(8)-(5)/(12)=(5*3)/(8*3)-(5*2)/(12*2) \\ =(15)/(24)-(10)/(24) \\ =(5)/(24) \end{gathered}$

Hence the LCD is 24 and the answer is option E which is 5/24.