. A recipe for biscuits calls for 1/4 teaspoon baking powder per 1 2/3cups of flour. What is the unit rate for baking powder and flour?
Idk im asking the same thing
To find the unit rate for baking powder and flour, we need to determine how much baking powder is used per 1 cup of flour.
The recipe calls for 1/4 teaspoon of baking powder per 1 2/3 cups of flour.
To convert 1 2/3 cups to an improper fraction, we need to multiply the whole number (1) by the denominator (3) and add the numerator (2), then put it over the denominator (3). This gives us (1 * 3 + 2) / 3 = 5/3.
So, the recipe calls for 1/4 teaspoon of baking powder per 5/3 cups of flour.
To determine the unit rate, we can divide the amount of baking powder by the amount of flour.
1/4 teaspoon / (5/3 cups of flour) = 1/4 teaspoon * (3/5 cups of flour) = 3/20 teaspoon per cup of flour.
Therefore, the unit rate for baking powder and flour is 3/20 teaspoon per cup of flour.
To find the unit rate for baking powder and flour in the given recipe, we need to determine the ratio between the amount of baking powder and the amount of flour.
In the recipe, it states that 1/4 teaspoon of baking powder is required for every 1 2/3 cups of flour.
To calculate the ratio, we need to convert the mixed number (1 2/3) into an improper fraction:
1 2/3 cups of flour = (1 * 3 + 2) / 3 = 5/3 cups of flour
So, the ratio of baking powder to flour is:
1/4 teaspoon of baking powder : 5/3 cups of flour
Next, we need to simplify the ratio. To do this, we can multiply both the numerator and denominator of the fraction by the same number to obtain a whole number for the denominator:
1/4 teaspoon of baking powder * 3/3 = 3/12 teaspoon of baking powder
5/3 cups of flour * 4/4 = 20/12 cups of flour
Now, the simplified ratio is:
3/12 teaspoon of baking powder : 20/12 cups of flour
We can further simplify the ratio by dividing both the numerator and denominator by their greatest common factor, which is 4:
3/4 teaspoon of baking powder : 5/3 cups of flour
Therefore, the unit rate for baking powder and flour in this recipe is:
3/4 teaspoon of baking powder per 5/3 cups of flour.