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Mark transferred songs from his computer onto his portable music player. He transferred 2 6/7 songs in 1 2/3 minutes. How many songs did he transfer per minute?

Verified Answer :

This is basically unit rate. So we make them into mixed numbers. 2 6/7 = 12/7. 1 2/3 = 5/3. Then we have to divide them. 12/7 divided by 5/3= 12/7 times 3/5 because u have to flip the second one. Keep, Change, and Flip is my motto. Then u will get 36/35. Simplified it will be 1 1/35. I also never said it was right, so if u get it wrong, because of me I'm sorry I tried.

Answer:

\(1\frac{5}{7}\) songs/ minute

Step-by-step explanation:

Mark transferred songs from his computer onto his portable music player.

Since he transferred \(2\frac{6}{7}\) songs in \(1\frac{2}{3}\) minute

\(2\frac{6}{7}\) songs = \(\frac{20}{7}\) songs

\(1\frac{2}{3}\) minutes = \(\frac{5}{3}\) minutes

Therefore, he transfer songs per minute = \(\frac{\frac{20}{7} }{\frac{5}{3} }\)

                                                       = \(\frac{20}{7}\) × \(\frac{3}{5}\)

                                                      =  \(\frac{4}{7}\) ×  \(\frac{3}{1}\)

                                                      =  \(\frac{12}{7}\)

                                                      =  \(1\frac{5}{7}\) songs/ minute

Mark transferred  \(1\frac{5}{7}\) songs per minute.