Francesca had 32 cups of flour. She used 3/8 of the flour for a recipe how much flour did Francesca used
The Correct Answer and Explanation is:
To determine how much flour Francesca used, we need to calculate ( \frac{3}{8} ) of 32 cups of flour. This is a straightforward multiplication problem, where we multiply the total amount of flour by the fraction representing how much was used for the recipe.
The formula is:
[
\text{Flour used} = \frac{3}{8} \times 32
]
Step-by-Step Calculation:
- Multiply the total amount of flour by the fraction:
The problem asks us to find ( \frac{3}{8} ) of 32, which can be written as: [
\frac{3}{8} \times 32 = \frac{3 \times 32}{8}
] - Simplify the multiplication:
Multiply 3 by 32: [
3 \times 32 = 96
] Now, the equation becomes: [
\frac{96}{8}
] - Perform the division:
Divide 96 by 8: [
\frac{96}{8} = 12
]
Answer:
Francesca used 12 cups of flour for the recipe.
Explanation:
Fractions represent parts of a whole, and in this case, ( \frac{3}{8} ) represents 3 out of 8 equal parts of the total 32 cups of flour. By multiplying 32 by ( \frac{3}{8} ), we are calculating how much of the 32 cups was used in the recipe. The fraction ( \frac{3}{8} ) tells us that out of the 8 equal parts, 3 parts were used.
Since fractions of a whole are easy to work with when multiplied, we first find the total amount of flour (32) and multiply it by the fraction to find how much was used in the recipe. The result of this multiplication, when divided, gives us the exact amount of flour Francesca used. This is an example of applying multiplication and division with fractions in real-world scenarios.