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Write a word problem that represents the expression 2 5/6÷1 2/3 . Find the solution and write it in simplest form.

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Final answer:

To represent 2 5/6 ÷ 1 2/3 as a word problem, imagine sharing bowls of ice cream equally with friends. The solution is 2 and 3/10.

Step-by-step explanation:

To represent the expression 2 5/6 ÷ 1 2/3 as a word problem, let's imagine that you have 2 and 5/6 bowls of ice cream. You want to share it equally with your friends, who each want 1 and 2/3 bowls. The question is, how many friends can you serve?

To find the solution, we can convert the mixed numbers to improper fractions and then divide: 23/6 ÷ 5/3. Invert the second fraction and multiply: 23/6 × 3/5. Multiply the numerators and the denominators to get 69/30 as the answer.

The solution in simplest form is 2 and 9/30, which can be simplified to 2 and 3/10.

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