Question

How do you convert 4.3 into a fraction and percent?

Answer 1

As a fraction 4.3`" "-> 43/10`

As a percentage 4.3`" "->430%" which is the same as "430/100`

Explanation:

`color(brown)("As a fraction")`
The first decimal place is for `10^("ths")" "`so `" "0.3->3/10`

Write 4.3 as: `" "4+0.3" "->" "4+3/10`

But we need to include the 4 in the fraction so we convert it to `10^("ths")` as well.

Multiply 4 by 1 but in the form of `1=10/10`

`(4xx10/10)+3/10`

`(40/10)+3/10 = (40+3)/10 = 43/10`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(brown)("Percentage has 2 ways of being written.")`
For example: suppose we had sixty percent
.
This can be written as `60%` or as `60/100`. They both represent the same thing.
'........................................................

Apply `43/10` multiplied by 1 but in the form of `1=10/10`

`43/10xx1" "->" "43/10xx10/10" " ->" " (43xx10)/(10xx10)=430/100`

So the percentage can be written as `430/100` or `430%`