Question

How do you write `4 3/5` as a percent?

Answer 1

`460%`

Explanation:

problem given
write fraction `4(3)/(5)` as a percent

concept applied

• converting mixed number to improper fraction
  `a(b)/(c)=((a\timesc)+b)/c`
• decimal conversion to percent
  given decimal `0.cd`, just multiply by 100 and you will get the percentage form `\rArr0.cd\times100=cd%`

calculation
mixed number `4(3)/(5)` to improper form: `((4\times5)+3)/5=23/5`
dividing that fraction we get `23\div5=4.6`
getting percentage form `\rArr460%`

Answer 2

460%

Explanation:

Percent means 'out of every 100'.
You can always replace % with `1/100` as %=`1/100`
.
1, whole part of anything etc means 100% as 100% means 1.

Solution:

Given fraction =`4+3/5`

= `(4×100)×1/100+(3/5×100)×1/100`

= `400×1/100+60×1/100`

= `400%+60% = 460%`

(as `1/100=%` )