Add 3 7/12 + 2 7/9 . Simplify the answer and write as a mixed number.

Question

asked Aug 14, 2023 119k views

1 Answer

Onevarez · Answer 1 · 2023-08-21T08:25:00+0000

To add the fractions, we need to change each mixed fraction to improper fractions for ease of solving.

Hence:

$\begin{gathered} 3(7)/(12)=((12*3)+7)/(12)=(43)/(12) \\ 2(7)/(9)=((9*2)+7)/(9)=(25)/(9) \end{gathered}$

Next, we find the Lowest Common Multiples of the denominators (9 and 12)

$L\mathrm{}C\mathrm{}M=36$

Therefore, we can add as follows:

$\begin{gathered} (43)/(12)+(25)/(9)=((3*43)+(4*25))/(36) \\ =(129+100)/(36) \\ =(229)/(36) \end{gathered}$

To change back to mixed fraction:

$\begin{gathered} (229)/(36)=6(229-(6*36))/(36) \\ =6(13)/(36) \end{gathered}$

The answer is