Mathematician

Ah, that's what it means. I usually think of that in terms of "ratio" for non-speed based situations. I thought rate was only used for speed. This looks like a poorly worded problem to me.

Just wait a moment, someone with more knowledge of math will come soon.

I don't think ingredients naturally have rates associated with them. Rates of what?

Also, two ingredients is kind of general.

Are you sure you typed that correctly?

I'm very confused on what this is asking. Rates and recipes? I have no idea what this means, and it looks lke nonsense to me, but perhap Melody, CPhil, or geno3141 could help.

No, they are not the same.

Here is why:

(Assuming you know the value of y and x and solve.)

In the first one, everything is subtracted from two at the end.

In the second one, since 2 is inside parenthesis lower than y^2, the problem ends with everything being divided by y^2.

True, but it is more productive to answer something not already answered.

I answered it correctly; there is no need to answer an already answered question.

Since the denominators (bottom numbers) are the same, we can just add the numerators (top numbers):

2 + 1 = 3, so $${\frac{{\mathtt{2}}}{{\mathtt{5}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{5}}}} = {\frac{{\mathtt{3}}}{{\mathtt{5}}}} = {\mathtt{0.6}}$$

Instead of using x's for multiplication, use *'s, •'s, or ()'s. It is less confusing that way.

Makes sense, geno. I think of prime factorization for the true meanings of numbers, personally so: 2⁵ • 3 • 5 • 11