Question

Write the decimal in simplest fractional form: 3.05

Answer 1

Answer:

The simplest form, as a fraction is:

$\frac{61}{20}$

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:

$3\frac{5}{100}$

It is $\frac{5}{100}$ 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 $\frac{5}{100}$ into:

$\frac{5}{100}$ = $\frac{1}{20}$

The reason it is $\frac{1}{20}$ is because:

$\frac{5}{100}$  

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

$\frac{1}{20}$

Now, you are left with:

$3\frac{1}{20}$

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:

$\frac{61}{20}$

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

$3\frac{1}{20}$

(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:

$\frac{20}{20}$

it will equal 1, in this case:

if we have 3:

$\frac{20}{20}$ $\frac{20}{20}$ $\frac{20}{20}$

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

$\frac{60}{20}$  =  3  

$3\frac{1}{20} = \frac{61}{20}$

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

From here we will check if we can make

$\frac{61}{20}$  and more simplified...

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

$\frac{61}{20}$

Hope that helps!

Answer 2

61/20 is the answer.