Convert the decimal number 0.04313728. Turn it into a reduced (simplified) proper fraction and write it as a percentage. Calculate other equivalent fractions to the decimal number, by expanding
Convert 0.04313728
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
0.04313728 =
0.04313728 × 100/100 =
(0.04313728 × 100)/100 =
4.313728/100 =
4.313728% ≈
4.31%
(rounded off to a maximum of 2 decimal places)
In other words:
Multiply the number by 100...
... And then add the percent sign, %
0.04313728 ≈ 4.31%
2. Write the number as a proper fraction.
0.04313728 can be written as a proper fraction.
The numerator is smaller than the denominator.
Write down the number divided by 1, as a fraction:
0.04313728 = 0.04313728/1
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.
1 followed by as many 0-s as the number of digits after the decimal point.
0.04313728/1 =
(0.04313728 × 100,000,000)/(1 × 100,000,000) =
4,313,728/100,000,000
3. Reduce (simplify) the fraction above: 4,313,728/100,000,000
(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):
4,313,728 = 27 × 67 × 503
100,000,000 = 28 × 58
Calculate the greatest (highest) common factor (divisor), GCF.
Multiply all the common prime factors by the lowest exponents.
GCF (27 × 67 × 503; 28 × 58) = 27
Divide both the numerator and the denominator by their greatest common factor, GCF.
4,313,728/100,000,000 =
(27 × 67 × 503)/(28 × 58) =
((27 × 67 × 503) ÷ 27) / ((28 × 58) ÷ 27) =
(67 × 503)/(2 × 58) =
33,701/781,250
33,701/781,250: 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:
33,701/781,250 = (33,701 × 4)/(781,250 × 4) = 134,804/3,125,000
Example 2. By expanding the fraction by 5:
33,701/781,250 = (33,701 × 5)/(781,250 × 5) = 168,505/3,906,250
Of course, the above fractions are reducing...
... to the initial fraction: 33,701/781,250
:: Final answer ::
Written in 3 different ways
As a reduced (simplified) positive proper fraction:
0.04313728 = 33,701/781,250
As a percentage:
0.04313728 ≈ 4.31%
As equivalent fractions:
0.04313728 = 33,701/781,250 = 134,804/3,125,000 = 168,505/3,906,250
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