Amber made 5 3/4 pitchers of iced tea for her friends. They drank 2/3 of the iced tea.
How many pitchers of iced tea did they drink?
Do I subtract to get the answer?
whenever you see "of" think multiplication.
half of a dozen is 1/2 * 12 = 6
so, 2/3 of 5 3/4 = 2/3 * 23/4 = 46/12 = 23/6 = 3 5/6
Thank you Steve for all your help! I have another question . I need to show 10/8 divided by 5/8 on a number line. I am completely lost!!! Please explain how to do this
Hmmm. Think of the 1/8 as a unit. You have 10 units divided by 5 units. The answer is 10/5 = 2
Mark off 5/8 on the line, mark off another 5/8 and note that 5/8 + 5/8 = 10/8. So, 10/8 ÷ 5/8 = 2.
arithmetically, 10/8 ÷ 5/8 = 10/8 x 8/5 = 80/40 = 2
Yes, to find out how many pitchers of iced tea they drank, you would subtract the amount they drank from the amount Amber made.
To solve this problem, first convert the mixed number of pitchers Amber made into an improper fraction.
Amber made 5 3/4 pitchers of iced tea. To convert this mixed number to an improper fraction, multiply the whole number (5) by the denominator (4) and add the numerator (3). This gives us:
5 x 4 + 3 = 20 + 3 = 23
So, 5 3/4 is equivalent to the improper fraction 23/4.
Now, find 2/3 of the iced tea. Multiply the numerator (2) by 23 (the numerator of the fraction that represents the total amount of iced tea). Divide the result by the denominator (3).
(2 x 23) ÷ 3 = 46 ÷ 3 = 15 1/3
Therefore, they drank 15 1/3 pitchers of iced tea.
To find the number of pitchers they drank, subtract the amount they drank from the total amount Amber made:
23/4 - 15 1/3
To subtract mixed numbers, convert them into improper fractions.
15 1/3 is equivalent to the improper fraction (3 x 15 + 1) ÷ 3 = 46/3.
Now subtract:
23/4 - 46/3
To subtract fractions, you need to have a common denominator. In this case, the common denominator is 12 (the least common multiple of 4 and 3).
Multiply the numerator and denominator of the first fraction (23/4) by 3 to get a denominator of 12:
(23 x 3) / (4 x 3) = 69/12
Multiply the numerator and denominator of the second fraction (46/3) by 4 to get a denominator of 12:
(46 x 4) / (3 x 4) = 184/12
Now subtract:
69/12 - 184/12 = -115/12
Therefore, they drank -115/12 pitchers of iced tea.
In this case, the answer is a negative fraction because they drank more tea than was made. To convert this improper fraction to a mixed number, divide the numerator (-115) by the denominator (12).
-115 ÷ 12 = -9 remainder 7
So, they drank -9 7/12 pitchers of iced tea.