How do you convert 4/25 into a decimal and percent?

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36
Jun 25, 2016

Answer:

Decimal: #0.16#
Percent: #16%#

Explanation:

Let's first convert it to decimal.
We have #4/25#
Now you can divide that by hand and you would get 0.16, but there is a faster way.
If we multiply both numerator and denominator with 4 we get:

#4/25 * 4/4 = 16/100#

And when you have something divided by a 100, the only thing you need to do is move two places to the left and you'll get your answer.
Examples:

#55/100=0.55#
#3/100=0.03#
#18/100=0.18#
and so on.

So in our case we used a trick of making our denominator a hundred so we could easily calculate the fraction.

#16/100=0.16#

And now let's convert to percentages.

To convert a number to percents, all you need to do is multiply it with 100%.
Examples:

#0.55# in percent is #55%#
#1/2# in percent is #50%#
#5# in percent is #500%#

So in our case

#16/100 * 100% = 16%#

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Write your answer here...
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Then teach the underlying concepts
Don't copy without citing sources
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Answer

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Explanation

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Tony B Share
May 7, 2017

Answer:

A sort of cheat way of doing the calculation (teaching about numbers)

Percentage#->16%#
Decimal #" "->0.16#

Explanation:

#color(blue)("Preamble")#
Talking about percentages:

The symbol #%# is a bit like units of measurement but one that is worth #1/100#

Using an example to demonstrate:

#30%" "->" "30xx%" "->" "30xx1/100" "->" "30/100#

So 30% and #30/100# are the same thing!

Another thing: did you know that you can, if you so chose, write whole numbers like a fraction.

#"For example 16 is the same as "16/1#

#" 26 is the same as "26/1#

#" 2 is the same as "2/1#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Answering the percent part of the question")#

Not very strait forward to divide 25 into 4 so lets make it a bit easier.

Note that the denominator (bottom number) is 25. This will divide into 100 and give a whole number answer.

So let us make the 4 look different without changing the 'overall' value

#color(green)(4 ->[ 4color(red)(xx1)] ->[4color(red)(xx100/100)] ->[400xx1/100]#

So #" "4/25" "=" "400/25xx1/100#

#color(green)(400/25xx1/100" "=" "(400color(red)(-:25))/(25color(red)(-:25))xx1/100)#

#" "=" "16/1" "xx1/100" "=" "(16xx1)/(1xx100)#

#" " =" "16/100#

But as talked about in the preamble #1/100# is the same as % so we have:

#16/100=16xx 1/100=16%#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("The decimal part of the question")#

#color(brown)("The teaching bit")#

A decimal construct is such that we have:

units + tenths + hundredths + .....

Using an example: suppose we had the number 23.26

Units #->26 " "larr" Units is counting in 1's" #

Tenths #->2/10#

Hundredths#->6/100#

#26/1+2/10+6/100" "->" "26.26#
....................................................................................
#color(brown)("Back to our question")#

We have #16%->16/100#

So we have: #0/1+1/10+6/100" "->" "0.16#

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