Question

what is the best estimate for the sum of $\frac{2}{9}$+$\frac{10}{11}$A. 0+0=0B. 1/2+1/2=1C. 1+1=2D. 0+1=1

Answer 1

The given expression is :

$\frac{2}{9}+\frac{10}{11}$

Since, denominator of both the factor are different so

LCM of 11 and 9 is 11 x 9 = 99

$\begin{gathered} \frac{2}{9}+\frac{10}{11}=\frac{11\times2+9\times10}{99} \\ \frac{2}{9}+\frac{10}{11}=\frac{22+90}{99} \\ \frac{2}{9}+\frac{10}{11}=\frac{112}{99} \end{gathered}$