Question

How do you write `25 2/8` in decimal form?

Answer 1

`25.25`

Explanation:

Option one

mixed number `25` `2/8`

convert to improper number :
`25` means twenty-five whole numbers (`8/8`). So to get fractional form would be `(25xx8)/8` or `200/8`

Add this to the other part with fraction, `2/8` and you get `200/8+2/8=202/8` which is your improper number.

Now divide it and you should get `202\div8=25.25`

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Option two

`2/8` can be simplified to `1/4`, and `1/4=0.25`*
Add that to the whole number, you get `25+0.25=25.25`

*(if you multiply `1/4xx100` you get `100/4=25`, so 25% or `25/100=0.25`)

Answer 2

See a solution process below:

Explanation:

First, rewrite the expression as:

`25 + 2/8 => 25 + 1/4`

Now, convert the fraction portion to a decimal by dividing:

`25 + 0.25 => 25.25`

Answer 3

`25.25`

Explanation:

Decimals are a way of writing fractions which have their denominators as as powers of `10`

The mixed number `25 2/8` has a whole number part, `(25)`, and a fraction part, `(2/8)`

`2/8` simplifies to `1/4`

Write `1/4` as a fraction with `100` as the denominator:

`1/4 xx25/25 = 25/100 = 0.25`

Therefore the mixed number can be written as:

`25 2/8 = 25 1/4 = 25 25/100 = 25.25`