# How do you convert 3/5 into a percent and decimal?

Jun 24, 2016

3/5=0.6=60%

#### Explanation:

To convert a fraction into decimal, it is always better to look at denominator first. If denominator has only $2$ and $5$ as prime factors, one can easily select a number multiplying denominator by which convert it into a denominator, which is a power of $10$ and the result will be a limiting decimal. In case it has a prime factor other than $2$ and $5$, conversion to decimal could be longer and will result in a unending but repeating decimals.

In the instant case as denominator is $5$, we can easily convert it into decimal by multiplying denominator and numerator by $2$.

Hence $\frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} = 0.6$

To convert the fraction to percent, one needs to just multiply it by $100$ and write % sign against the result.

As $\frac{3}{5} = 0 , 6$, it is 0.6xx100=60%

Jun 25, 2016

Another way of looking at it

$\frac{3}{5} = 0.6$

3/5=60%

#### Explanation:

$\textcolor{b l u e}{\text{Very important concept}}$
Consider $\frac{1}{2}$.

The top number (numerator) is the count and the bottom number (denominator) is the size indicator of what you are counting.

So for $\frac{1}{2}$ it takes 2 of what you are counting to make a complete whole 1 of something.

$\frac{2}{3}$ is such that the count is 2 and you need 3 of what you are counting to make a whole 1 of something.

$\frac{3}{4}$ is such that you have a count of 3 and you need 4 of what you are counting to make a whole 1 of something
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$\textcolor{b l u e}{\text{How you use the above information}}$

$\textcolor{b r o w n}{\text{Changing "3/5" into a decimal value}}$

We need to change the size indicator into 1.

To change 5 into 1 we divide it by 5.

What we do to the bottom we do to the top so that the inherent value does not change. Just the way it looks.

$\text{ "3/5" "=" "(3-:5)/(5-:5)" " =" } \frac{0.6}{1}$

We do not normally write the 1 so instead of $\frac{0.6}{1}$ we just write $0.6$

" "color(green)("3/5=0.6)
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$\textcolor{b r o w n}{\text{Changing "3/5" into a percentage}}$

Percentage just means the count of how many out of 100 do you have.

So in this case the size indicator (denominator) needs to be 100

So we have to change the 5 in $\frac{3}{5}$ into 100

We do this by multiplying by 20

What we do to the bottom we do to the top

$\text{ "3/5" "=" "(3xx20)/(5xx20) " "=" } \frac{60}{100}$

But another way of writing$\frac{60}{100}$ is 60%

" "color(green)(3/5 = 60%)