1. Write the number as a percentage.
Multiply the number by 100/100
Note: 100/100 = 1
The value of the number does not change when multiplying by 100/100
0.02040816326 =
0.02040816326 × 100/100 =
(0.02040816326 × 100)/100 =
2.040816326/100 =
2.040816326% ≈
2.04%
(rounded off to a maximum of 2 decimal places)
In other words:
Multiply the number by 100...
... And then add the percent sign, %
0.02040816326 ≈ 2.04%
2. Write the number as a proper fraction.
0.02040816326 can be written as a proper fraction.
The numerator is smaller than the denominator.
Write down the number divided by 1, as a fraction:
0.02040816326 = 0.02040816326/1
Turn the top number into a whole number.
Multiply both the top and the bottom by the same number.
This number is: 100,000,000,000.
1 followed by as many 0-s as the number of digits after the decimal point.
0.02040816326/1 =
(0.02040816326 × 100,000,000,000)/(1 × 100,000,000,000) =
2,040,816,326/100,000,000,000
3. Reduce (simplify) the fraction above: 2,040,816,326/100,000,000,000
(to the lowest terms, to its simplest equivalent form, irreducible).
To reduce a fraction divide the numerator and the denominator by their greatest (highest) common factor (divisor), GCF.
Factor both the numerator and the denominator (prime factorization).
In exponential notation (an):
2,040,816,326 = 2 × 37 × 27,578,599
100,000,000,000 = 211 × 511
Calculate the greatest (highest) common factor (divisor), GCF.
Multiply all the common prime factors by the lowest exponents.
GCF (2 × 37 × 27,578,599; 211 × 511) = 2
Divide both the numerator and the denominator by their greatest common factor, GCF.
2,040,816,326/100,000,000,000 =
(2 × 37 × 27,578,599)/(211 × 511) =
((2 × 37 × 27,578,599) ÷ 2) / ((211 × 511) ÷ 2) =
(37 × 27,578,599)/(210 × 511) =
1,020,408,163/50,000,000,000
1,020,408,163/50,000,000,000: Equivalent fractions.
The above fraction cannot be reduced.
That is, it has the smallest possible numerator and denominator.
By expanding it we can build up equivalent fractions.
Multiply the numerator & the denominator by the same number.
Example 1. By expanding the fraction by 4:
1,020,408,163/50,000,000,000 = (1,020,408,163 × 4)/(50,000,000,000 × 4) = 4,081,632,652/200,000,000,000
Example 2. By expanding the fraction by 6:
1,020,408,163/50,000,000,000 = (1,020,408,163 × 6)/(50,000,000,000 × 6) = 6,122,448,978/300,000,000,000
Of course, the above fractions are reducing...
... to the initial fraction: 1,020,408,163/50,000,000,000