# Mary cut a piece of yarn that is \frac{9}{5} feet long into 3 pieces. List

Mary cut a piece of yarn that is $$\displaystyle{\frac{{{9}}}{{{5}}}}$$ feet long into 3 pieces. List 3 different fractions that could show the length of the 3 fractions in ft.

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Ezra Herbert
Step 1
Mary cut a piece of yarn that is $$\displaystyle{\frac{{{9}}}{{{5}}}}$$ feet long into 3 pieces.
Step 2
Since she cut the yarn into 3 pieces, divide the total length of the yarn by 3.
$$\displaystyle{\frac{{{\left({\frac{{{9}}}{{{5}}}}\right)}}}{{{3}}}}={\frac{{{9}}}{{{5}\times{3}}}}={\frac{{{9}}}{{{15}}}}={\frac{{{3}}}{{{5}}}}$$
The length of a single piece of the yarn is $$\displaystyle{\frac{{{3}}}{{{5}}}}$$ feet.
Add all the three pieces and check whether the total length of the yarn $$\displaystyle{\frac{{{9}}}{{{5}}}}$$ or not.
$$\displaystyle{\frac{{{3}}}{{{5}}}}+{\frac{{{3}}}{{{5}}}}+{\frac{{{3}}}{{{5}}}}={\frac{{{3}+{3}+{3}}}{{{5}}}}={\frac{{{9}}}{{{5}}}}$$
Thus, the lengths of three pieces are $$\displaystyle{\frac{{{3}}}{{{5}}}}$$ feet, $$\displaystyle{\frac{{{3}}}{{{5}}}}$$ feet and $$\displaystyle{\frac{{{3}}}{{{5}}}}$$ feet.