Question

5 2/11- 3 2/18= use benchmarks to estimate the sum difference or product

Answer 1

$\begin{gathered} 5\frac{2}{11}-3\frac{2}{18}=\frac{(11\times5)+2}{11}-\frac{(18\times3)+2}{18}=\frac{57}{11}-\frac{56}{18}=\frac{57}{11}-\frac{28}{9} \\ \end{gathered}$

finding the LCM for 11 and 9 = 99, then the corresponding subtraction is made

$\begin{gathered} \frac{57\times9}{11\times9}-\frac{28\times11}{9\times11} \\ \frac{513}{99}-\frac{308}{99} \\ \frac{205}{99} \end{gathered}$

the answer is

$\frac{205}{99}or2\frac{7}{99}$