The number expressed as a decimal is 0.36
Step-by-step explanation:
First of all, we have to write the ratio between the number of songs from Josiah's favorite band and the total number of songs.
We have:
# of songs of his favorite band = 16
# of total songs = 44
Therefore, the fraction is:
[tex]\frac{16}{44}[/tex]
Now we have to express this as a decimal. First of all, we simplify the fraction, by dividing each number by 4, and we get:
[tex]\frac{16}{44} \frac{1/4}{1/4}=\frac{4}{11}[/tex]
Now in order to write this as a decimal, we just use the calculator and we divide 4 by 11, and we get:
[tex]\frac{4}{11}=0.36363636....[/tex]
which is a periodic number, so we approximate to
[tex]\frac{4}{11}=0.36[/tex]
Learn more about fractions and decimals here:
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