sofia has pitchers that each hold 1 2/5 L. she has 4 1/5 L of iced tea. which divison expresion can you use to find the number of pitchers sofia can fill with iced tea: 1 2/5 ➗ 4 1/5 or 4 1/5 ➗ 1 2/5? how many pichers can sofia fill?
4.2/1.4 = ?
To find the number of pitchers Sofia can fill with iced tea, we need to divide the total amount of iced tea (4 1/5 L) by the capacity of each pitcher (1 2/5 L).
So, the division expression we can use is:
4 1/5 L ÷ 1 2/5 L
To simplify this, we need to convert the mixed numbers into improper fractions:
4 1/5 = (4 × 5 + 1) / 5 = 21/5
1 2/5 = (1 × 5 + 2) / 5 = 7/5
Now we can rewrite the expression as:
(21/5) ÷ (7/5)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(21/5) × (5/7)
The 5 in the numerator of the first fraction and the denominator of the second fraction cancel out, leaving us with:
21/7 = 3
Therefore, Sofia can fill 3 pitchers with iced tea.
To find the number of pitchers Sofia can fill with iced tea, we need to determine which division expression to use: 1 2/5 ÷ 4 1/5 or 4 1/5 ÷ 1 2/5.
To solve this problem, we should use the division expression: 4 1/5 ÷ 1 2/5.
Here's how we can solve it step by step:
Step 1: Convert the mixed numbers to improper fractions:
4 1/5 can be written as (5 * 4 + 1) / 5 = 21/5
Step 2: Invert the divisor (the number we're dividing by):
1 2/5 can be written as 5/7
Step 3: Multiply the dividend (21/5) by the reciprocal of the divisor (5/7):
(21/5) * (5/7) = (21 * 5) / (5 * 7) = 105/35
Step 4: Simplify the fraction:
105/35 can be simplified as 3/1 or simply 3.
Therefore, Sofia can fill 3 pitchers with her 4 1/5 L of iced tea.