Answer:
Joanne will need to use 10 5/8 cups of water for the recipe.
Explanation:
Step 1: Convert the mixed number to an improper fraction.
Joanne needs 3 3/2 cups of flour. To convert this to an improper fraction, we multiply the whole number (3) by the denominator (2) and add the numerator (3).
3 * 2 + 3 = 6 + 3 = 9
So, Joanne needs 9/2 cups of flour.
Step 2: Calculate the amount of water needed for each cup of flour.
For each cup of flour, 5/8 cups of water are needed. Since Joanne needs 9/2 cups of flour, we can set up a proportion to find the amount of water needed.
(5/8) * (9/2)
Step 3: Multiply the fractions.
To multiply fractions, we multiply the numerators and the denominators.
(5 * 9) / (8 * 2) = 45 / 16
So, Joanne needs 45/16 or 2 13/16 cups of water for the recipe.