"If you have a scoop that holds 3/4 cup, and a recipe calls for
3 3/4 cups of water, then how many scoops would you need to use?"
Please break this problem down, please!
3.75 / .75 = ?
To determine the number of scoops required, we can follow these steps:
1. Calculate the fraction of water held by one scoop: Since each scoop holds 3/4 cup, we have 1 scoop = 3/4 cup.
2. Determine the number of cups needed: The recipe calls for 3 3/4 cups of water. We can express this as a mixed fraction: 3 3/4 = 3 + 3/4 = 12/4 + 3/4 = 15/4 cups.
3. Divide the total cups needed by the cups held in one scoop: We divide 15/4 cups by 3/4 cup per scoop.
15/4 ÷ 3/4 = (15/4) × (4/3) = (15 × 4) / (4 × 3) = 60/12 = 5.
Therefore, you would need 5 scoops to fulfill the recipe's requirement of 3 3/4 cups of water.
To solve this problem, we need to figure out how many times the given scoop of 3/4 cup needs to be used to measure 3 3/4 cups of water.
First, let's convert the mixed number 3 3/4 into an improper fraction. To do this, we multiply the whole number (3) by the denominator (4) and add it to the numerator (3). This gives us (3 * 4) + 3 = 12 + 3 = 15. So, 3 3/4 is equal to 15/4.
Now, we need to find how many times the scoop of 3/4 cup goes into 15/4 cups. We can think of this as a division problem. We divide 15/4 by 3/4 to find the number of scoops needed.
When we divide fractions, we can simplify the problem by multiplying the first fraction by the reciprocal of the second fraction. So, dividing 15/4 by 3/4 is equivalent to multiplying 15/4 by 4/3:
(15/4) * (4/3) = (15 * 4) / (4 * 3) = 60/12
Now, we can simplify the fraction 60/12 by dividing both the numerator and the denominator by their greatest common divisor, which is 12.
60/12 = (60/12) / (12/12) = 5/1
So, we have found that 15/4 cups is equal to 5 scoops of 3/4 cup.
Therefore, to measure 3 3/4 cups of water, you would need to use 5 scoops.