What Is the value of the number 2.25? How can this number be written as a fraction or mixed number

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Let us assume `2.25 ` as

`(2.25)/1 `

As 2.25 has two decimal places, we need to multiply both numerator and denominator by 100. By this, we can convert 2.25 as 225.

 

`(2.25)/1 . 100/100 = (225.00)/100 = 225/100 `

Reduce this fraction into its lowest terms. We get

`225/100 -: 25/25 = 9/4 = 2 1/4`

Approved by eNotes Editorial
An illustration of the letter 'A' in a speech bubbles

Hello!

This number is written in a decimal form, which is based on the number `10.` The leftmost digit `2` means just `2.` The next digit, `2` also, has `10` times less "weight" and means `2/10.` The next number, `5,` is at the one hundredth's place and means `5/100.`

The number is the sum of these values, i.e.

`2.25=2+2/10+5/100.`

 

To add `2/10` and `5/100,` express `2/10` as `20/100` (multiply both numerator and denominator by `10`).

So `2/10+5/100=20/100+5/100=25/100.` This fraction may be reduced by `25` and is equal to `1/4.` And we got that the number `2.25` is the same as `2` and `1/4.`

It may also be written as an (improper) fraction. Because `2 =8/4,` `2+1/4=9/4.`

 

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial