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I don't know how to do it since it has a whole number invloved as well.

20 5/6% = ??

2006-07-21 11:31:11 · 12 answers · asked by Anonymous in Science & Mathematics Mathematics

The answer is 5/24, but I need to learn the procedure...

2006-07-21 11:31:48 · update #1

12 answers

20 5/6% = 125/6 % = 125/600 = (25 x 5) / (25 x 24) = 5/24

2006-07-21 11:35:36 · answer #1 · answered by Anonymous · 1 0

First, change the mixed number to an improper fraction:

20 5/6 = 125/6 [ because (6 * 20) + 5) = 125 ]

Then take the result and divide by 100 to turn the percent into a regular number:

(125/6) / 100 = (125/6) * (1/100) = 125/600

And reduce:

(5*25)/ (24 * 25) = 5/24

2006-07-21 16:18:12 · answer #2 · answered by Anonymous · 1 0

First convert 20 5/6% to an improper fraction. Multiply the denominator (6) by the whole number (20) then add the numerator (5). Then use the denominator 6.

6 * 20 + 5
120 + 5
125 >> new numerator

125/6 >> improper fraction

Then divide the improper fraction by 100.

125/6 ÷ 100

To do that get the reciprocal of 100 (100 = 100/1). Then multiply with the improper fraction.

125/6 * 1/100 = 125/600

Now find the GCF of 125 & 600, which is 25.
Divide both the numerator and denominator by 25.

125 ÷ 25 5
------------ = ---
600 ÷ 25 24


I hope this helps you.

2006-07-21 19:50:42 · answer #3 · answered by just me 4 · 2 0

A percent is a number divided by 100.

20% is 20/100

and 5/6% is 5/6 divided by 100

5
--------- = 5/600
6 * 100

So, you have 20/100 + 5/600

You can't add these together because the bottom number isn't the same so:

20 * 6 = 120
------------------ = 120/600
100 * 6 = 600

now:

120/600 + 5/600 = 125/600

You can divide the top and bottom both by 25 to simplify it
125/25 = 5
--------------- = 5/24
600/25 = 24

and that's your answer 5/24

2006-07-21 11:56:05 · answer #4 · answered by scientia 3 · 0 0

Percent To Fraction

2016-09-29 03:17:46 · answer #5 · answered by bugenhagen 4 · 0 0

205/6% = 125/6% = 125/6 x 1/100 = 125/600 = 0.208

If you want to convert a percent to a fraction just divide the number by 100.

2006-07-21 16:39:59 · answer #6 · answered by Subhash G 2 · 0 0

20 5/6 is a mixed number. Algebraically it is also equal to

( 20 + 5/6 )


You also need to be able to convert a percentage into a simple number. For example 2% is 2/100. % is /100

So your expression in the original question becomes


( 20 + 5/6) / 100


We simplify the above to get:


((120+5)/6) /100


which can be rewritten as

125/600

Now we can write out the top and bottom in factors to look for common ones to cancel out. The expression then becomes:

(5*5*5)/(5*4*3*5*2)

= 5/ 24

2006-07-21 12:37:46 · answer #7 · answered by Anonymous · 0 0

Well first u need to know that percent(%) mean divided by 100.

20 5/6 %

1)Multiply 6 with 20
2)Add the answer with 5

20*6=120
now add 5 with it

120+5=125

so its becomes now

125/6 %

since there is percent "%". divided it with hundred

==>125/6 (1/100)

===>125/600 (Divide 125/25, 600/25)

====>5/24

2006-07-21 11:49:41 · answer #8 · answered by Da Sahar SToRaY 2 · 0 0

20 5/6 % = x
20 5/6 * 1/100 = x
20/100 + 5/600 = x
120/600 + 5/600 = x
125/600 = x
5/24 = x

2006-07-21 11:38:34 · answer #9 · answered by Danzarth 4 · 0 2

This Site Might Help You.

RE:
hOW TO MAKE THIS FRACTIONAL PERCENT INTO A SIMPLE FRACTION?
I don't know how to do it since it has a whole number invloved as well.

20 5/6% = ??

2015-08-12 10:14:20 · answer #10 · answered by Tonita 1 · 0 0

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