Answer:
1 minute and 15 seconds
Explanation:
Let's start by finding how long it takes Mike to play one full song.
If Mike plays 1/5 of a song in 1/4 of a minute, then he plays 1/5 x 4/1 = 4/5 of a song in one minute (by multiplying the numerator and denominator of 1/5 by 4/1).
To find how long it takes to play one full song, we can set up a proportion:
4/5 of a song is played in 1 minute
1 full song is played in x minutes
We can cross-multiply to solve for x:
4/5 = 1/x
Multiplying both sides by x:
4/5 * x = 1
Dividing both sides by 4/5:
x = 5/4 = 1.25
Therefore, it takes Mike 1.25 minutes, or 1 minute and 15 seconds, to play one full song.