Answer:
The simplest form, as a fraction is:
[tex]\frac{61}{20}[/tex]
Step-by-step 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:
[tex]3\frac{5}{100}[/tex]
It is [tex]\frac{5}{100}[/tex] 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 [tex]\frac{5}{100}[/tex] into:
[tex]\frac{5}{100}[/tex] = [tex]\frac{1}{20}[/tex]
The reason it is [tex]\frac{1}{20}[/tex] is because:
[tex]\frac{5}{100}[/tex]
Both the numerator (top of fraction) and denominator (bottom of fraction) can both be divided by 5, which gives you your total of:
[tex]\frac{1}{20}[/tex]
Now, you are left with:
[tex]3\frac{1}{20}[/tex]
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:
[tex]\frac{61}{20}[/tex]
This is how I turned it from a mixed fraction into a improper fraction:
[tex]3\frac{1}{20}[/tex]
(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:
[tex]\frac{20}{20}[/tex]
it will equal 1, in this case:
if we have 3:
[tex]\frac{20}{20}[/tex] [tex]\frac{20}{20}[/tex] [tex]\frac{20}{20}[/tex]
Then our whole number will be 60 for our numerator and it will look like:
[tex]\frac{60}{20}[/tex] = 3
[tex]3\frac{1}{20} = \frac{61}{20}[/tex]
These are actually the same, just in different fractional forms.
From here we will check if we can make
[tex]\frac{61}{20}[/tex] and more simplified...
I have checked that this is most simplest form, so your answer is:
[tex]\frac{61}{20}[/tex]
Hope that helps!
