Question

in a simple counting formula to determine the hertz (hz) of a wave relative to time, the total hz ($x$) over a time period can be included in the numerator of a fraction with a set time period ($y$) in seconds in the denominator. $\frac{x}{y}$ thus, 917 hz observed over 14 seconds equals: $\frac{917}{14}$ which in turn equals: $65\frac{1}{y}$ hz per second what value would need to be in $y$ to properly simplify the improper fraction above?

Explanation:

Step1: Recall improper - fraction simplification

An improper fraction $\frac{a}{b}$ can be written as a mixed - number $c\frac{d}{b}$, where $a = bc + d$ and $0\leq d\lt b$. Here, $\frac{917}{14}=65\frac{7}{14}$.

Step2: Simplify the fraction part

We know that $\frac{7}{14}=\frac{1}{y}$. By cross - multiplying or simplifying the fraction $\frac{7}{14}$, we find that $y = 2$.

Answer:

2