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

3 Answers
Jun 18, 2018

Decimal value - #0.583333333#
Percent value - #58.33%#

Explanation:

So to convert #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

#(58.bar(33))/100# & #0.58bar(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:

#7/12=x/100#

We can cross multiply to get

#(7*100)/12#

Which simplifies to #58.bar(33)#

This means #7/12# is equivalent to #(58.bar(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

#0.58bar(33)#

Hope this helps!

Jun 18, 2018

Decimal = #0.583...#
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...# 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.