Question

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

Answer 1

The given subraction is:

`(5)/(8)-(5)/(12)`

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.