Question

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?

Answer 1

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.

Answer 2

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.