1. What is 35% as a Fraction?
35% as a Fraction is 7/20
2. How do you convert 35% to Fraction?
Divide the 35% to Fraction by dividing with 100 to get a decimal number. Place the decimal value on top as numerator over number length after decimal. Change the numerator and denominator to the whole number by counting the decimal places to the right of decimal and multiplying with powers of length after decimal of 10. Reduce the fraction further by dividing both numerator and denominator with GCF.
3. Where do I get detailed steps converting 35% to Fraction?
You can get detailed steps converting 35% to Fraction on our page.
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1 Expert Answer
Here is the way that I think is the simplest method of changing a percentage a fraction. This percentage has two digits in it, so put it over a 1 and two zeros and then simplify.
35/100 is simplified to 7/20.
Here is another example with a different percentage. Change 25% to a fraction.
25/100 is simplified to 1/4.
Here is another example. Change 5% to a fraction. The is only one digit so put it over a 1 and one zero and then simplify.
5/10 is simplified to 1/2.
Write .35 as
.35/1
Multiply both the numerator and denominator by 10 for each digit after the decimal point.
.35/1
.35 x 100/1 x 100
=35/100
In order to reduce the fraction find the Greatest Common Factor (GCF) for 35 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 35 are: 1 5 7 35
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The Greatest Common Factor (GCF) for both 35 and 100 is: 5
Now to reduce the fraction we divide both the numerator and denominator by the GCF value.
35/100
=35 ÷ 5/100 ÷ 5
=7/20
As a side note the whole number-integral part is: emptyThe decimal part is: .35 = 35/100
Full simple fraction breakdown: 35/100= 7/20
Scroll down to customize the precision point enabling .35 to be broken down to a specific number of digits.
The page also includes a pie chart representation of .35 in fraction form, the different types of fractions, and what type of fraction .35 is when converted.