# How do you convert 7/12 into a decimal and percent?

Jun 18, 2018

Decimal value - $0.583333333$
Percent value - 58.33%

#### Explanation:

So to convert $\frac{7}{12}$ into a decimal, you divide 7 by 12 which gives us $0.583333333$.

So to convert it to a percent, we can take the decimal value and convert it to a percentage but, we need to move the dot by 2 places which gives us: 58.33%

Jun 18, 2018

$\frac{58. \overline{33}}{100}$ & $0.58 \overline{33}$

#### Explanation:

To convert a fraction into a decimal/percent, it helps to make it have a denominator of $100$. We can essentially set up the following ratio:

$\frac{7}{12} = \frac{x}{100}$

We can cross multiply to get

$\frac{7 \cdot 100}{12}$

Which simplifies to $58. \overline{33}$

This means $\frac{7}{12}$ is equivalent to $\frac{58. \overline{33}}{100}$.

When we have a fraction with a denominator of $100$, the numerator gives us the percent, since the word "percent" literally means per $100$.

This means the fraction is 58.bar(33)%.

We can loop this value twice to the left (same as dividing by $100$) to find the decimal equivalent. We get

$0.58 \overline{33}$

Hope this helps!

Jun 18, 2018

Decimal = $0.583 \ldots$
Percetange = 58.33...%

#### Explanation:

Well, there are two ways to find it out:

Method one:

To find out the decimal of a fraction you must do $7 / 12$. So if you do $7$ divided by $12$.
This gives you: $0.5833 \ldots$ We can just make this $0.58$

So the answer would be $0.58$ for the decimal one.

Now for the percentage, you will just have to do 58%
(because that is $58$ hundredths and the highest is 100%

Hope this helped!

You can also just put a dot over the $3$ to show that it is reccuring.