To make banana bread, Colin uses

3
4
of a cup of brown sugar for every 2 cups of flour. How much brown sugar should Colin use to make a small batch with only 1 cup of flour?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

To find out how much brown sugar Colin should use for a small batch with 1 cup of flour, we can set up a proportion.

Let's say "x" represents the amount of brown sugar Colin should use.

We can set up the proportion:

(3/4) cup brown sugar / 2 cups flour = x cup brown sugar / 1 cup flour

Cross-multiplying, we get:

(3/4) * 1 = 2 * x

3/4 = 2x

To solve for x, we can divide both sides of the equation by 2:

3/4 / 2 = x

Simplifying:

3/8 = x

Therefore, Colin should use 3/8 cup of brown sugar to make a small batch with 1 cup of flour.