Sarah is following a recipe that calls for 1 1/4 cups of flour. About how many cup of flour would she need to make 4/9 batch of the recipe?

1 1/4 = 5/4

4/9 * 5/4 = 5/9 = .55555
1/2c is just a bit short (.5)
2/3c is just a bit over (.666)

1/2c is a better estimate

To determine how many cups of flour Sarah would need to make a 4/9 batch of the recipe, we can follow these steps:

Step 1: Find the value of 4/9 of 1 1/4 cups.
Step 2: Multiply the value found in Step 1 by the number of cups determined in the recipe.

Let's break it down:

Step 1: Convert 1 1/4 cups to an improper fraction.
- The whole number 1 can be written as 1/1.
- To convert the mixed number 1 1/4 to an improper fraction, we can multiply the whole number (1) by the denominator (4) and add the numerator (1). This gives us (1 x 4 + 1) / 4 = 5/4.

Step 2: Determine 4/9 of 5/4 cups.
- To find 4/9 of a value, we multiply the value by 4/9.
- Multiply 5/4 by 4/9: (5/4) x (4/9) = 20/36.

Step 3: Simplify the resulting fraction.
- Both the numerator and denominator have a common factor of 4, so we can simplify 20/36.
- Divide the numerator and denominator by 4: (20/4) / (36/4) = 5/9.

Step 4: Multiply the simplified fraction by the number of cups in the original recipe.
- Multiply 5/9 by 1 1/4:
- First, convert 1 1/4 to an improper fraction. Multiply 1 x 4 + 1 = 5. So, 1 1/4 is equal to 5/4.
- Multiply 5/9 by 5/4: (5/9) x (5/4) = 25/36.

Therefore, Sarah would need approximately 25/36 cups of flour to make a 4/9 batch of the recipe.