Question

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

Answer 1

`\begin{gathered} 5(2)/(11)-3(2)/(18)=((11*5)+2)/(11)-((18*3)+2)/(18)=(57)/(11)-(56)/(18)=(57)/(11)-(28)/(9) \\ \end{gathered}`

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

`\begin{gathered} (57*9)/(11*9)-(28*11)/(9*11) \\ (513)/(99)-(308)/(99) \\ (205)/(99) \end{gathered}`

the answer is

`(205)/(99)or2(7)/(99)`