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Write the decimal in simplest fractional form: 3.05

User Mharper
by
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2 Answers

5 votes
61/20 is the answer.
User Kannan Arumugam
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9.2k points
0 votes

Answer:

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!

User Fjardon
by
8.1k points

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