Express the following as a friction in its Lowest terms. 37½%
Answers
What is 37 1/2% as a fraction?
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A “percentage” is a fraction: “per cent” means the denominator is one hundred (100).
The numerator of this fraction is 37 + 1/2, which is 37.5, so just do the following:
write the numerator: 37 + 12 or 37.5
draw a line underneath what you have written
underneath the line, write a one (1) then a zero (0) and another zero (0)
Now, you should see the following:
3712100
or:
37.5100
If you want the numerator to be a whole number, just multiply it by ten by moving the decimal point one place to the right (and then eliminating it because a decimal point is optional if nothing follows it); since you’ve multiplied the to by ten, you must do the same to the bottom:
3751000
Each of the above fractions is a correct answer to the question, but that last one is probably the one you want.
A simple example: 1/2 is 50%, as in if you got 5 of 10 (5/10) you’d have 50%. As a fraction 5/10 =0.5
To change a number to a percent, you multiply the number by 100 and annex a percent sign (%). 0.5*100 = 50%
To go the other way, to change a percent to a number, divide the number by 100. 37 1/2% divided by 100 is 0.37 1/2 or 0.375.
Written as a simple fraction it is 375/1000.
Write the fraction in prime number so that 375/1000 = 5*5*5*3/5*5*5*2*2*2.
Each 5 in the denominator matches with a 5 in the numerator and you end up with 3/2*2*2.
That is 3/8.
As a simplified fraction 37 1/2% = 3/8.
Answer: As a simplified fraction 37 1/2% = 3/8.