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Yoon cuts an (2)/(3)-yard piece of plywood into equal pieces of length (1)/(9) yard for an art project. Write an equation to find the number of pieces Yoon cuts.

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Final answer:

To find the number of pieces Yoon cuts, divide the length of the plywood by the length of each piece. In this case, Yoon cuts 6 pieces.

Step-by-step explanation:

To find the number of pieces Yoon cuts, we need to divide the length of the plywood by the length of each piece. Yoon has a plywood piece that is (2)/(3) yards long, and each piece is (1)/(9) yard long.

We can represent this as an equation:

(2)/(3) ÷ (1)/(9) = ?

To divide fractions, we multiply by the reciprocal of the second fraction:

(2)/(3) x (9)/(1) = ?

Multiplying across, we get:

(2 x 9)/(3 x 1) = 18/3 = 6 pieces

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