Question

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

Answer 1

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

`6(13)/(36)`