Lucy used 3 3/4cups of sugar for her lemonade stand she divided the sugar in equal amounts into 6 pitcher how much sugar went into each pitcher
(3 3/4) / 6
(15/4) * (1/6) = 15/24 = 5/8 cup
To find out how much sugar went into each pitcher, we need to divide the total amount of sugar (3 3/4 cups) by the number of pitchers (6).
Step 1: Convert the mixed number to an improper fraction.
3 3/4 cups = (4 * 3 + 3) / 4 = 15/4 cups
Step 2: Divide the total amount of sugar by the number of pitchers.
15/4 cups ÷ 6 = 15/4 ÷ 6
Step 3: Simplify the fraction (if possible).
15/4 ÷ 6 = 15/4 ÷ 6/1
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
15/4 ÷ 6/1 = 15/4 × 1/6
Step 4: Multiply the fractions.
15/4 × 1/6 = (15 × 1) / (4 × 6) = 15/24
So, each pitcher had 15/24 cups of sugar.
To find out how much sugar went into each pitcher, we need to divide the total amount of sugar used by the number of pitchers.
First, let's convert the mixed fraction (3 3/4) into an improper fraction:
3 3/4 = (4 * 3 + 3) / 4 = 15/4
Next, we divide the total amount of sugar (15/4 cups) by the number of pitchers (6):
(15/4 cups) ÷ 6 = (15/4) * (1/6)
To multiply fractions, we simply multiply the numerators (top numbers) together, and the denominators (bottom numbers) together:
15/4 * 1/6 = (15 * 1) / (4 * 6) = 15 / 24
Lastly, we can simplify the fraction:
15/24 = (15 ÷ 3) / (24 ÷ 3) = 5/8
Therefore, Lucy put 5/8 cups of sugar into each pitcher.