Question

what is the best estimate for the sum of
`(2)/(9)`+
`(10)/(11)`A. 0+0=0B. 1/2+1/2=1C. 1+1=2D. 0+1=1

Answer 1

The given expression is :

`(2)/(9)+(10)/(11)`

Since, denominator of both the factor are different so

LCM of 11 and 9 is 11 x 9 = 99

`\begin{gathered} (2)/(9)+(10)/(11)=(11*2+9*10)/(99) \\ (2)/(9)+(10)/(11)=(22+90)/(99) \\ (2)/(9)+(10)/(11)=(112)/(99) \end{gathered}`