over the weekend, Nolan drank 1/6 quart of orange juice, and Andrea drank 3/4 quart of orange juice. how many quarts did they drink together?

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Answer:

They drank 11/12 all together.

Step-by-step explanation:

Set it up as:

1         3

--   +   --

6        4

Find the common denominator between 4 and 6:

4: 4,8,12

6: 6,12

The common denominator is 12

Now multiply the denominators to get 12 then multiply the numerator by the same number:

6x2=12

1/2=2


4x3=12

3x3=9

The new fractions are:

2         9       11

--    +   --  =   ---

12       12       12


They drank 11/12 quarts together.

Hope this helps! :)

CloutAnswers

Quarts did they drink together is [tex]\frac{11}{12}[/tex]

Further explanation

Orange juice is a liquid extract of the orange tree fruit. It is produced by squeezing or reaming oranges. It comes in several different varieties, including blood orange, navel oranges, tangerine, valencia orange, clementine, etc. The quart is an English unit of volume that equal to a quarter gallon. The quart is divided into two pints or four cups. Historically, the exact size of the quart has varied with the different values of gallons over time.

Over the weekend, Nolan drank 1/6 quart of orange juice, and Andrea drank 3/4 quart of orange juice. how many quarts did they drink together?

We can draw the visualization of how many quarts for every people.

[tex]\frac{1}{6} + \frac{3}{4}  \\\frac{4}{24} + \frac{18}{24} = \frac{22}{24} \\[/tex]

Then we can draw 6x4 rectangular with 4 filled for Nolan and 18 filled for Andrea

After that we can divide both the 22 and 24 by 2:

[tex]\frac{22:2}{24:2} = \frac{11}{12}[/tex]

Therefore over the weekend, they drank [tex]\frac{11}{12}[/tex] quarts of juice.

Learn more

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Answer details

Grade:  5

Subject:  math

Chapter:  quart

Keywords:  quart, orange juice, juice,  orange,  drink together