Question
Colton is making a large batch of clay for his art class his recipe for clay requires 7 1/2 cups of flour. However Colton only makes 5 5/8 cups of the flour so he can only make a portion of the recipe.
Answers
GPT 3.5
Colton can only make a portion of the recipe because he only has 5 5/8 cups of flour, which is less than the required 7 1/2 cups.
To find out how much of the recipe Colton can make, we need to subtract the amount of flour he has (5 5/8 cups) from the required amount (7 1/2 cups).
First, let's convert the mixed numbers to improper fractions:
5 5/8 = (5 * 8 + 5) / 8 = 45/8
So, Colton has 45/8 cups of flour.
Now, let's subtract this amount from 7 1/2:
7 1/2 - 45/8
To subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 2 and 8 is 8. So, we rewrite 7 1/2 as 7 4/8.
7 4/8 - 45/8 = (7 * 8 + 4) / 8 - 45/8 = 60/8 - 45/8 = 15/8
Colton can therefore make 15/8 cups of the recipe with the amount of flour he has. However, since fractions of cups don't make sense in this context, we need to convert this into a mixed number.
The whole number part of the mixed number is the result of dividing the numerator (15) by the denominator (8). 15 divided by 8 is 1 with a remainder of 7. So, the whole number part is 1.
The fractional part of the mixed number is the remainder (7) over the denominator (8). So, the fractional part is 7/8.
Hence, Colton can make 1 7/8 cups of the recipe with the amount of flour he has.
To find out how much of the recipe Colton can make, we need to subtract the amount of flour he has (5 5/8 cups) from the required amount (7 1/2 cups).
First, let's convert the mixed numbers to improper fractions:
5 5/8 = (5 * 8 + 5) / 8 = 45/8
So, Colton has 45/8 cups of flour.
Now, let's subtract this amount from 7 1/2:
7 1/2 - 45/8
To subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 2 and 8 is 8. So, we rewrite 7 1/2 as 7 4/8.
7 4/8 - 45/8 = (7 * 8 + 4) / 8 - 45/8 = 60/8 - 45/8 = 15/8
Colton can therefore make 15/8 cups of the recipe with the amount of flour he has. However, since fractions of cups don't make sense in this context, we need to convert this into a mixed number.
The whole number part of the mixed number is the result of dividing the numerator (15) by the denominator (8). 15 divided by 8 is 1 with a remainder of 7. So, the whole number part is 1.
The fractional part of the mixed number is the remainder (7) over the denominator (8). So, the fractional part is 7/8.
Hence, Colton can make 1 7/8 cups of the recipe with the amount of flour he has.