Question

A recipe uses 6 cups of flour to 1 1/6 cups of milk. If you have 2 cups of flour, how much milk should you use? The amount of milk in cups for 2 cups of flour is?

Answer 1

The first part of the question gives you the proportion of flour to milk to use.

It 6 to 1 1/6 of flour to milk.

Let's start by rewriting the mixed fraction into a fraction.

1 and 1/6 means:

$1+\frac{1}{6}=\frac{6}{6}+\frac{1}{6}=\frac{7}{6}$

Now, we know the proportion is 6 to 7/6.

To get the amount of milk for 2 cups of flour, notice that we divided the original amount of flour by 3, because 6/3 = 2.

To maintain the proportion of flour to milk, we need to divide the amount of milk by 3 too:

$\frac{\frac{7}{6}}{3}=\frac{\frac{7}{6}}{\frac{3}{1}}=\frac{7}{6}\cdot\frac{1}{3}=\frac{7}{18}$

So, the amount of milk for 2 cups of flour is 7/18 cups.