How can I change 33(1/3) percent into fraction?
I've done this so far:
Change 1/3 into decimal, therefore
=0.33
=33.33
TO change into fraction I have to divide by 100
0.33/100?
Answer is 1/3 But i don't know how..?
1/3
33 1/3 = to =1/3
To convert a percentage to a fraction, you can follow these steps:
1. Take the given percentage and divide it by 100 to convert it to a decimal. In this case, 33(1/3) percent can be written as 33.33/100.
2. Simplify the decimal fraction by canceling out common factors. In this case, dividing both the numerator and denominator by 33 would simplify the fraction further.
33.33/100 ÷ 33/33 = 1.0001/3. Ending up with a repeating decimal in the numerator indicates that the fraction has a repeating pattern.
3. To express the repeating decimal as a fraction, let's assume a = 0.0001 (the repeating decimal part).
Multiply both sides of the equation by 10,000 (the number of decimal places in the repeating pattern).
10,000a = 1 (this equation gets rid of the decimal point).
Subtract the equation (equation 1) from equation 2 to eliminate the repeating part:
10,000a - a = 1 - 0.0001
9,999a = 0.9999
4. Divide both sides of the equation by 9,999 to solve for "a":
a = 0.9999 / 9,999 = 0.0001 / 1
=> a = 1/10,000
5. Replace "a" with the fraction you found in step 4, and simplify the fraction:
1.0001/3 = 1 + 1/10,000 ÷ 3
= 1 + 1/30,000
= (30,000 + 1) / 30,000
= 30,001 / 30,000
So, the fraction equivalent of 33(1/3) percent is 30,001/30,000.
can that really be done because 33(1/3)%=33/3*100=3300/3=?
and see if you get a fraction
33 1/3% = 33.33333% = 0.33333... = 1/3
study up on common fractions and their repeating decimal representation.