A stick is 10 1/5 inches in length. A carpenter will cut it into shorter pieces, each 1 2/15 inches in length. How many pieces will the stick be cut into?

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03-11-2022
Mathematics

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A stick is 10 1/5 inches in length. A carpenter will cut it into shorter pieces, each 1 2/15 inches in length. How many pieces will the stick be cut into?

Sagot :

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HarminnieP205534idn HarminnieP205534idn · Answer 1 · 2022-11-03T05:58:32-04:00

Answer:

9 pieces

Explanation:

From the question, we're told that the length of the stick is 10 1/5 inches, let's convert the mixed fraction into an improper fraction;

[tex]10\frac{1}{5}=\frac{51}{5}[/tex]

Also, we're told that the stick was cut into shorter pieces of length 1 2/15 inches each. Converting 1 2/15 into an improper fraction, we'll have;

[tex]1\frac{2}{15}=\frac{17}{15}[/tex]

To determine the number of pieces that the stick will be cut into, we'll need to divide 51/5 by 17/15;

[tex]\frac{\frac{51}{5}}{\frac{17}{15}}=\frac{51}{5}\ast\frac{15}{17}=\frac{15}{1}\ast\frac{3}{17}=\frac{153}{17}=9[/tex]

Sagot :

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