Question

Write the decimal in simplest fractional form: 3.05

Answer 1

61/20 is the answer.

Answer 2

The simplest form, as a fraction is:

`(61)/(20)`

Explanation:

Though being quite a large amount, this is actually its number, here is why:

3.05 turned into a fraction would look like a mixed fraction:

`3(5)/(100)`

It is
`(5)/(100)` because 0.05 is also 5 hundredths.

And 3 is 3.00 because it is a whole number.

Now, you need to reduce or simplify the
`(5)/(100)` into:

`(5)/(100)` =
`(1)/(20)`

The reason it is
`(1)/(20)` is because:

`(5)/(100)`

Both the numerator (top of fraction) and denominator (bottom of fraction) can both be divided by 5, which gives you your total of:

`(1)/(20)`

Now, you are left with:

`3(1)/(20)`

But since we are looking for the most simplest fractional form, and not the mixed form, we will need to turn this into a improper fraction.

Which will look like:

`(61)/(20)`

This is how I turned it from a mixed fraction into a improper fraction:

`3(1)/(20)`

(First, multiply 3 by the denominator, which is 20)

3 · 20

= 60

You will now add 1 to 60 and get a sum of:

60 + 1

= 61

(The reason you want to multiply 20 and 3, is because if you have the whole of a denominator, for example:

`(20)/(20)`

it will equal 1, in this case:

if we have 3:

`(20)/(20)`
`(20)/(20)`
`(20)/(20)`

Then our whole number will be 60 for our numerator and it will look like:

`(60)/(20)` = 3

`3(1)/(20) = (61)/(20)`

These are actually the same, just in different fractional forms.

From here we will check if we can make

`(61)/(20)` and more simplified...

I have checked that this is most simplest form, so your answer is:

`(61)/(20)`

Hope that helps!