First let's round the numbers 6 2/3 and 2 14/15.
2/3 is approximately 0.66, so it's closer to 0.5 than 1, so let's round the mixed number to 6 1/2.
In the same way, we can round 2 14/15 to 3, because it's closer to 3 than to 2.5.
So the final calculation is:
[tex]6\frac{1}{2}-3=3\frac{1}{2}[/tex]
Now, calculating the difference without approximation, we have:
[tex]6\frac{2}{3}-2\frac{14}{15}=6\frac{10}{15}-2\frac{14}{15}=4-\frac{4}{15}=3+\frac{15}{15}-\frac{4}{15}=3+\frac{11}{15}=3\frac{11}{15}[/tex]
