A recipe for cake calls for 5 and 1/4 cup of flour. The chef mistakenly adds 7 and 2/3 cups of flour to the mixture. How much flour does the chef need to remove from the mixture?

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To find out how much flour the chef needs to remove from the mixture, we need to subtract the correct amount of flour from the amount of flour the chef mistakenly added.

The correct amount of flour needed for the recipe is 5 and 1/4 cups. The chef added 7 and 2/3 cups by mistake.

To subtract fractions, we need to have a common denominator. In this case, the denominators are already the same, so we can subtract the numerators directly.

5 and 1/4 cups = 5 cups + 1/4 cup = 20/4 cups + 1/4 cup = 21/4 cups

Now, let's subtract the correct amount of flour from the amount mistakenly added:

7 and 2/3 cups = 7 cups + 2/3 cup = 21/3 cups + 2/3 cups = 23/3 cups

To find out how much flour the chef needs to remove, we subtract the correct amount from the amount mistakenly added:

23/3 cups - 21/4 cups

To subtract fractions, we need a common denominator. The common denominator for 3 and 4 is 12.

(23/3) * (4/4) = 92/12 cups
(21/4) * (3/3) = 63/12 cups

Now, subtract the numerators:

92/12 cups - 63/12 cups = 29/12 cups

Therefore, the chef needs to remove 29/12 cups of flour from the mixture.