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, 1098 hz observed over 10 seconds equals:
$\frac{1098}{10}$
which in turn equals:
109 $\frac{x}{5}$ hz per second
what value would need to be in $x$ to properly simplify the improper fraction above?

Explanation:

Step1: Recall improper - fraction simplification

We have the fraction $\frac{1098}{10}$. We want to simplify it to the form $a\frac{x}{5}$. First, simplify $\frac{1098}{10}$.

Step2: Simplify the fraction

$\frac{1098}{10}=\frac{1098\div2}{10\div2}=\frac{549}{5}$.
We can write $\frac{549}{5}$ as $109\frac{4}{5}$.

Answer:

4