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Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123 2 1 ​ 3, start fraction, 1, divided by, 2, end fraction minutes long. The slideshow is 31\dfrac1231 2 1 ​ 31, start fraction, 1, divided by, 2, end fraction minutes long.

User Juan Riaza
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1 Answer

3 votes

Answer:

number of songs = 9 songs

Explanation:

According to Marcus the the song are each 3 start fraction , 1 divided by 2 end fraction minutes long. This can be expressed mathematically as 3 1/2 minutes long.

The slide show is 31, start fraction , 1 divided by, 2 end fraction minutes. This can be expressed also as 31 1/2 minutes long. The slide show contains the entire song.

Recall each song is 3 1/2 minutes long . The whole number fraction can be converted to improper fraction as 7/2 minutes long.

The whole slides show can be converted to improper fractions as 63/2 minutes long.

The number of song in the slideshow can be solved when we divide the total time in the slideshow by the time of each song.

number of songs = 63/2 ÷ 7/2

number of songs = 63/2 × 2/7

number of songs = 63/7

number of songs = 9 songs

User Clint Powell
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