Question

5 12/20 +6 11/45 - 9 8/15​

Answer 1

Answer:

DID YOU UNDERSTAND

Step-by-step explanation:

One example:

Define  ⊕:N×N→N s.t. (n,m)↦n(m+1)  

Then  1⊕4=1×(4+1)=1×5=5 ,  2⊕5=2×6=12 ,  3⊕6=3×7=21 , and  8⊕11=8×12=96  

But there are infinitely many different definitions we could come up with that would work equally well. Indeed, we could contrive any particular answer we wish for.

Another example:

Define  ⊕:N×N→Q s.t. (n,m)↦1524nm+314−1336n2m2  

Then  1⊕4=(1524⋅1⋅4)+314−(1336⋅12⋅22)=456+314−121=5 ,  2⊕5=12 ,  3⊕6=21 , and  8⊕11=8337