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Derrick drank (2)/(3) liter of water Monday before going jogging. He drank (3)/(7) liter of water after his jog. How much water did Derrick drink altogether? Write your answer as a mixed number.

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Final answer:

Derrick drank 1 and 2/21 liters of water altogether.

Step-by-step explanation:

To find the total amount of water Derrick drank, we need to add the amounts he drank before and after jogging. First, let's add the fractions (2/3) and (3/7) to find a common denominator:

(2/3) + (3/7) = (14/21) + (9/21) = 23/21.

We can simplify this fraction by dividing the numerator by the denominator:

23 ÷ 21 = 1 remainder 2.

This means Derrick drank 1 whole liter and 2/21 of a liter. So, the amount of water Derrick drank altogether is 1 and 2/21 liters.

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