A cook has 2 2/3 cups of flour. A recipe calls for 2 3/4 cups of flour. Does the cook have enough flour? If not, how much more flour is needed?
No the cook doesn't have enough flour. You first need to find a common denominator of twelve. So you are 1/12 a cup of flour short.
To determine if the cook has enough flour, we need to compare the amount of flour the cook has with the amount required by the recipe.
The cook has 2 2/3 cups of flour, which can also be written as 8/3 cups of flour.
The recipe calls for 2 3/4 cups of flour, which can also be written as 11/4 cups of flour.
To compare these amounts, we can find a common denominator. Multiplying the denominators 3 and 4 will give us a common denominator of 12.
So, 8/3 cups of flour is equal to (8/3) * (4/4) = 32/12 cups of flour.
And, 11/4 cups of flour is equal to (11/4) * (3/3) = 33/12 cups of flour.
Now, we can compare the two amounts: 32/12 cups of flour that the cook has and 33/12 cups of flour required by the recipe.
Since 32/12 is less than 33/12, the cook does not have enough flour.
To calculate how much more flour is needed, we subtract the amount the cook has from the amount required by the recipe.
33/12 - 32/12 = 1/12 cups of flour.
Therefore, the cook needs an additional 1/12 cups of flour to meet the recipe's requirements.
To determine if the cook has enough flour, we need to compare the amount he has with the amount required by the recipe.
The cook has 2 2/3 cups of flour, which can be written as a mixed fraction or an improper fraction:
2 2/3 = (2 * 3 + 2) / 3 = 8/3 cups
The recipe calls for 2 3/4 cups of flour, which can also be written as a mixed fraction or an improper fraction:
2 3/4 = (2 * 4 + 3) / 4 = 11/4 cups
Now, let's compare the amounts of flour:
8/3 cups vs 11/4 cups
To compare fractions, we need to find a common denominator. In this case, the common denominator is 12, which is the least common multiple of 3 and 4.
Now, let's convert both fractions to have a denominator of 12:
8/3 cups = (8 * 4) / (3 * 4) = 32/12 cups
11/4 cups = (11 * 3) / (4 * 3) = 33/12 cups
Now that both fractions have a denominator of 12, we can easily compare them:
32/12 cups vs 33/12 cups
Since 33/12 is greater than 32/12, it means that the cook does not have enough flour for the recipe.
To determine how much more flour is needed, we subtract the amount the cook has from the amount required by the recipe:
33/12 cups - 32/12 cups = (33 - 32) / 12 = 1/12 cups
Therefore, the cook needs an additional 1/12 cups of flour to meet the recipe's requirement.