there are 4 trombones out of 25 instruments in the lander town band. what percent of the instruments are trombones. //percent and fractions
The definition of a percent, according to google.com, is "one part in every hundred".
So 4 trombones out of 25 instruments would represent the same rate as:
16 trombones out of 100 instruments (multiplying both by 4)
Which means, that 16 parts in every hundred instruments in the lander town band would be trombones. Hence, 16% is the answer.
Fraction of the instruments that are trombones is \(\frac{4}{25}\)
Percent of the instruments that are trombones is \(16\%\)
A fraction represents a part of a whole or, more generally, any number of equal parts.
A percentage is a number or ratio expressed as a fraction of \(100\)
Number of trombones \(=4\)
Number of instruments \(=25\)
Fraction of the instruments that are trombones \(=\frac{4}{25}\)
Percent of the instruments that are trombones \(=\frac{4}{25}\times 100\)
\(=16\%\)
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