defazajx

2021-08-18

Find the ratio of a $2\frac{1}{2}$ diameter to a $5\frac{1}{4}$ diameter hard drive.

Latisha Oneil

Calculation:
Given statement is,
The diameter of the hard drives $=2\frac{1}{2}$ and $5\frac{1}{4}$,
$2\frac{1}{2}$ is equivalent to $\frac{5}{2}$ or 2.5,
$5\frac{1}{4}$ is equivalent to $\frac{21}{4}$ or 5.25.
To find the ratio of a 2.5 diameter to a 5.25 diameter hard drive,
First, needed to understand the above mentioned concept,
The ratio of a to b is,
$\frac{a}{b}$ (fractional notation), or
$a:b$ (colon notation).
The ratio of a 2.5 diameter to a 5.25 diameter hard drive is,
In fractional notation $\frac{\left(2.5\right)}{\left(5.25\right)}$,
To clear decimals multiply by 100 on both numerator and denominator of the $\frac{\left(2.5\right)}{\left(5.25\right)}$
Simplify the above fraction as below,
$\frac{\left(2.5\right)}{\left(5.25\right)}=\frac{\left(2.5\right)\left(100\right)}{\left(5.25\right)\left(100\right)}$
$\frac{\left(2.5\right)}{\left(5.25\right)}=\frac{\left(250\right)}{\left(525\right)}$
Divided by a common factor 25 on both numerator and denominator of $\frac{\left(250\right)}{\left(525\right)}$
$\frac{\left(250\right)}{\left(525\right)}=\frac{\left(\frac{250}{25}\right)}{\left(\frac{525}{25}\right)}$
$\frac{\left(250\right)}{\left(525\right)}=\frac{10}{21}$
The ratio of a $2\frac{1}{2}$ diameter to a $5\frac{1}{4}$ diameter hard drive is,
In fractional notation $\frac{10}{21}$,
10 drives to 21 drives.
In colon notation $10:21$,
Final statement:
The ratio of a $2\frac{1}{2}$ diameter to a $5\frac{1}{4}$ diameter hard drive is, $\frac{10}{21}$.

Jeffrey Jordon