A clerk sold three pieces of one troupe of ribbon to different customers. One piece was 5 7/27 yards long, another was 1 6/7 yards long, and the third piece was 14 1/9 yards long. What was the total length of that type of ribbon sold?

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KaizleighG393646 KaizleighG393646 · Answer 1 · 2022-10-26T03:19:34+02:00

SOLUTION

The clerk sold three piece of troupe of ribbon to three customers

The lenght receive by each customer is

[tex]\begin{gathered} 5\frac{7}{27}yards\text{ } \\ 1\frac{6}{7}yards \\ \text{and } \\ 14\frac{1}{9}yards \end{gathered}[/tex]

The total lenght of the type of Ribbon is gotten by suming the lenght of each yards received by the customers

Hence we have

[tex]\begin{gathered} \text{The total lenght is } \\ (5\frac{7}{27}+1\frac{6}{7}+14\frac{1}{9})yards \end{gathered}[/tex]

Then we add the whole numbers together and the fraction

[tex](5+1+14)(\frac{7}{27}+\frac{6}{7}+\frac{1}{9})[/tex][tex]\begin{gathered} 20(\frac{49+162+21}{189}) \\ \text{where LCM=189} \end{gathered}[/tex]

Then we have

[tex]\begin{gathered} 20\frac{232}{189} \\ 20(1\frac{43}{189}) \end{gathered}[/tex]

Then by adding the whole numbers we obtain

[tex]21\frac{43}{189}[/tex]

Therefore the lenght of type of ri