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"Percent" means "out of 100".

Thus to convert a percentage to a fraction put it over 100 and simplify. Examples:

50 % = 50/100 = 1/2

33 1/3 % = (33 1/3)/100 = (33 1/3 × 3)/(100 × 3) = 100/300 = 1/3

To convert a percentage to a decimal (as it is equivalent to a fraction with a denominator of 100 and conversion of a fraction to a decimal is achieved by dividing the numerator by the denominator) divide it by 100. Examples:

50 % = 50 ÷ 100 = 0.5

17.5 % = 17.5 ÷ 100 = 0.175

250 % = 250 ÷ 100 = 2.5

To do the reverse, multiply the value of 100 %. Examples

½ = ½ × 100 % = (½ × 100) % = 50 %

7/8 = 7/8 × 100 % = 700/8 % = 87½ % = 87.5 %

0.35 = 0.35 × 100 % = 35 %

0.012 = 0.012 × 100 % = 1.2 %

2.5 = 2.5 × 100 % = 250 %

Q: How are percentages converted between fractions and decimals?

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Fractions and decimals

You can convert them to the same value so let's say you have 50% it would be 0.50 or 50 over 100(fraction). That's the best I know and it's my first time .

These are decimals and there are an infinite number of numbers between these numbers.

They are both representations of rational numbers.

powers of 10 example 10,100,1000

Related questions

The relationship between fractions and decimals can be seen as follow. Fractions can be represented as ratio of two numbers and on dividing can give a decimal value. And decimal value can be converted into a fraction too.

Fractions are integers divided by integers. Percentages are the number of hundredths.

they both have the letter t in them.

Fractions and decimals

You can convert them to the same value so let's say you have 50% it would be 0.50 or 50 over 100(fraction). That's the best I know and it's my first time .

Fractions to decimals: Divide the numerator by the denominator. Decimals to fractions: Put the fraction without the decimal point in the numerator. In the denominator, put a "1", followed by as many zeroes as there are decimals. For example, 0.058 becomes 58 / 1000.

These are decimals and there are an infinite number of numbers between these numbers.

They are both representations of rational numbers.

powers of 10 example 10,100,1000

the way it is written, they can equal the same amount

There are infinitely many decimals fractions.19.00000000119.000000001000000619.0000000010000219.0000000265and so on

they all can be used to find the answer to the same wole number