Question

Alaina sugar cookie recipe calls for 2 1/4 cups of flour per batch if she wants to make 2 /3 a batch of cookies how much flour should she use

Answer 1

Answer:

Alaina will require 1.5 cups of flour to make $\frac{2}{3}$ batches of cookies.  

Step-by-step explanation:

We are given the following information in the question:

Amount of flour required per batch of cookies =

$2\displaystyle\frac{1}{4}\text{ cups}$

Number of batches of cookies Alaina wants to make = $\displaystyle\frac{2}{3}$

Formula:

$\text{Flour required} = \text{Flour required to make 1 batch of cookies}\times \text{Number of batches}\\\\=2 \displaystyle\frac{1}{4}\times \frac{2}{3}\\\\= \frac{9}{4}\times \frac{2}{3} = \frac{3}{2} = 1.5\text{ cups of flour}$

Hence, Alaina will require 1.5 cups of flour to make $\frac{2}{3}$ batches of cookies.

Answer 2

If we have 2+1/4 for a batch and want 2/3rds of that, we multiply (2+1/4) by 1/3 to get 2/3+1/12 (we can just multiply the denominator by 3 to divide by 1/3) = 8/12+1/12=9/12=3/4 ( we get 8/12 by figuring out that 12/3 =4 so we multiply 2/3 by 4/4). Since we need 2/3rds, we then multiply 3/4 by 2 to get 6/3 or 3/2.