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We will share a ribbon that is 2 2/3 m long. I will get 1 1/2 m of the ribbon, while my brother will get 7/10 m. If my sister will get the rest of the ribbon, how many metres of ribbon will she get?

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Final answer:

After converting all ribbon lengths to meters, the sister will get approximately 0.4666 meters of the 2 2/3 meters long ribbon once the student's 1 1/2 meters and the brother's 7/10 meters shares are removed.

Step-by-step explanation:

The student wants to know how much ribbon their sister will get after they and their brother have taken their shares from a ribbon that is 2 2/3 m long. The student will take 1 1/2 m, and the brother will take 7/10 m. To find out how much ribbon the sister will get, we first need to convert all lengths of ribbon to a common unit, which will be meters in this case.

First, we will add the lengths of ribbon the student and their brother will take:

  • Student's share: 1 1/2 m = 1.5 m
  • Brother's share: 7/10 m = 0.7 m

Now we add up the student's and brother's shares: 1.5 m + 0.7 m = 2.2 m. Next, we subtract this total from the length of the entire ribbon to find out how much the sister will get:

2 2/3 m - 2.2 m = 8/3 m - 2.2 m = 2.6666 m - 2.2 m = 0.4666 m (or 14/30 m when converted to a fraction, which simplifies to 7/15 m).

Therefore, the sister will get approximately 0.4666 meters of ribbon.

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