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

Caelan 2021-10-04 Answered
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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Expert Answer

Ezra Herbert
Answered 2021-10-05 Author has 18180 answers
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.
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