How many ¼ cups of juice are in 2 1/4 cups?
To find the number of 1/4 cups in 2 1/4 cups, we need to divide 2 1/4 by 1/4.
2 1/4 ÷ 1/4 = (9/4) ÷ (1/4)
When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction.
(9/4) ÷ (1/4) = (9/4) * (4/1)
Cancelling out the denominators, we are left with:
9/1 = 9
Therefore, there are 9 1/4 cups of juice in 2 1/4 cups.
What is the answer
The answer is 9. There are 9 1/4 cups of juice in 2 1/4 cups.
To find the number of ¼ cups of juice in 2 ¼ cups, we divide the total amount of juice by the portion of juice we are interested in. In this case, we want to know how many ¼ cups are in 2 ¼ cups.
First, let's convert the mixed number 2 ¼ into an improper fraction. To do this, multiply the whole number (2) by the denominator (4), and then add the numerator (1). This gives us (2 * 4) + 1 = 9. The mixed number 2 ¼ is equivalent to the improper fraction 9/4.
Now, we divide 9/4 by 1/4 to find the number of ¼ cups in 2 ¼ cups. To divide fractions, we multiply the first fraction (dividend) by the reciprocal of the second fraction (divisor). The reciprocal of 1/4 is 4/1.
Thus, the calculation is (9/4) * (4/1) = (9 * 4) / (4 * 1) = 36/4.
The result is 36/4, which simplifies to 9. Therefore, there are 9 ¼ cups of juice in 2 ¼ cups.