Question

Helloo everyone can you please help me on this pls

Answer 1

Answer:  $6 \frac{1}{2}$

This is the same as writing 6 & 1/2 or 6  1/2

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Explanation:

Notice that 13/2 = 6.5

So we can have 6 full vials, plus a bit left over. The leftover bit is 0.5 which converts to 1/2

So 6.5 in decimal form converts to the mixed number $6 \frac{1}{2}$

This mixed number does not mean 6 times 1/2. It means 6 whole vials plus another 1/2 a vial. The notation is probably a bit confusing. It might be easier to say $6 + \frac{1}{2}$, but the drawback is now things are a bit clunky.

On a keyboard, we could write $6 \frac{1}{2}$ as 6 & 1/2 or as 6  1/2. The spacing is important to separate out the whole and fractional parts.

To be perfectly honest, I don't like the notation 6  1/2 because to me it seems too vague, and it might be mistaken for 61/2. I prefer the 6 & 1/2 notation more since it's more descriptive and we wouldn't have a mix-up. But be sure to type in the answer in the format your teacher wants.