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At Union High School, $\frac{1}{2}$ of the students play an instrument. Of the students who play an instrument, $\frac{1}{6}$ play a string instrument. What fraction of the students at Union High School play a string instrument? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_\_\_$ of the students

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Multiply fractions: word problems

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Q. At Union High School,

\frac{1}{2}

of the students play an instrument. Of the students who play an instrument,

\frac{1}{6}

play a string instrument. What fraction of the students at Union High School play a string instrument?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_\_\_

of the students

Identify Fraction of Students: Step $1$ : Identify the fraction of students who play any instrument. $\newline$ Calculation: $\frac{1}{2}$ of the students play an instrument.
Determine String Instrument Players: Step $2$ : Determine the fraction of instrument-playing students who play a string instrument. $\newline$ Calculation: $\frac{1}{6}$ of the instrument players play a string instrument.
Multiply Fractions for String Instrument: Step $3$ : Multiply the fractions from Step $1$ and Step $2$ to find the fraction of all students who play a string instrument. $\newline$ Calculation: $(\frac{1}{2}) \times (\frac{1}{6}) = \frac{1}{12}$

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