Question

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?

Answer 1

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

The lenght receive by each customer is

`\begin{gathered} 5(7)/(27)yards\text{ } \\ 1(6)/(7)yards \\ \text{and } \\ 14(1)/(9)yards \end{gathered}`

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

Hence we have

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

Then we add the whole numbers together and the fraction

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

Then we have

`\begin{gathered} 20(232)/(189) \\ 20(1(43)/(189)) \end{gathered}`

Then by adding the whole numbers we obtain

`21(43)/(189)`

Therefore the lenght of type of ri