$\frac{301 \times 16}{7} = ?$ How to estimate the answer?

Question

Though we can get it's exact number , we have to estimate the result.

My Attempt: $301 \approx 300$ and $\frac{16}{7} = 2\frac{2}{7} \approx 2\frac{2}{8} = \frac{9}{4} $

So $\frac{301}{\frac{7}{16}} \approx \frac{300 \times 9}{4} = 675$

Can anyone give any better method?

Answer 1

I have no idea what "excellent number sense" is, but if you showed me that calculation and said "you have 3 seconds to estimate the result", my estimate would be "about $630$".

My reasoning would be

Welll, $\frac{7}{16}$ is a little less than a half, so dividing by it will multiply the number by a little more than $2$. Twice $301$ is $602$, so a little more than that is $630$.