To answer: Find the ratio of a 212 diameter to a 514 diameter hard drive.

Question

To answer:  Find the ratio of a 212 diameter to a 514 diameter hard drive.

Latisha Oneil · Accepted Answer

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{(2.5)}{(5.25)}

,
To clear decimals multiply by 100 on both numerator and denominator of the

\frac{(2.5)}{(5.25)}

Simplify the above fraction as below,

\frac{(2.5)}{(5.25)} = \frac{(2.5) (100)}{(5.25) (100)}

\frac{(2.5)}{(5.25)} = \frac{(250)}{(525)}

Divided by a common factor 25 on both numerator and denominator of

\frac{(250)}{(525)}

\frac{(250)}{(525)} = \frac{(\frac{250}{25})}{(\frac{525}{25})}

\frac{(250)}{(525)} = \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 · Accepted Answer

Answer is given below (on video)

To answer: Find the ratio of a 2 \frac{1}{2} diameter to

Answered question

Answer & Explanation

New Questions in Pre-Algebra