IMathAS-libretexts

Finding a Fraction of a Whole Number

Write the verbal expression in symbolic form. Then evaluate and write your result as a whole or mixed number. Use * for multiplication.

Context	Symbolic Form	Simplified Product
Example: Paul worked $\displaystyle \frac{{1}}{{5}}$ of a $\displaystyle {16}$ hour job. How many hours did he work?	$\displaystyle \frac{{1}}{{5}}\cdot{16}$	$\displaystyle {3}\frac{{1}}{{5}}$ hours
Sara's gas tank was $\displaystyle \frac{{1}}{{6}}$ full. When full, it holds $\displaystyle {25}$ gallons of gas. How many gallons of gas were in the tank?		gallons
Trisha was planning on biking $\displaystyle {42}$ miles. She biked $\displaystyle \frac{{5}}{{8}}$ of the trip and then stopped to rest. How many miles did she bike before resting?		miles
Debra used to make $ $\displaystyle {11}$ an hour at her old job. She makes $\displaystyle \frac{{3}}{{2}}$ of this amount per hour at her new job. How many dollars per hour does she make at her new job?		dollars per hour