Convert the decimal number 0.3235. 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 0.3235
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
0.3235 =
0.3235 × 100/100 =
(0.3235 × 100)/100 =
32.35/100 =
32.35%
In other words:
Multiply the number by 100...
... And then add the percent sign, %
0.3235 = 32.35%
2. Write the number as a proper fraction.
0.3235 can be written as a proper fraction.
The numerator is smaller than the denominator.
Write down the number divided by 1, as a fraction:
0.3235 = 0.3235/1
Turn the top number into a whole number.
Multiply both the top and the bottom by the same number.
This number is: 10,000.
1 followed by as many 0-s as the number of digits after the decimal point.
0.3235/1 =
(0.3235 × 10,000)/(1 × 10,000) =
3,235/10,000
3. Reduce (simplify) the fraction above: 3,235/10,000
(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):
3,235 = 5 × 647
10,000 = 24 × 54
Calculate the greatest (highest) common factor (divisor), GCF.
Multiply all the common prime factors by the lowest exponents.
GCF (5 × 647; 24 × 54) = 5
Divide both the numerator and the denominator by their greatest common factor, GCF.
3,235/10,000 =
(5 × 647)/(24 × 54) =
((5 × 647) ÷ 5) / ((24 × 54) ÷ 5) =
647/(24 × 53) =
647/2,000
647/2,000: 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 6:
647/2,000 = (647 × 6)/(2,000 × 6) = 3,882/12,000
Example 2. By expanding the fraction by 10:
647/2,000 = (647 × 10)/(2,000 × 10) = 6,470/20,000
Of course, the above fractions are reducing...
... to the initial fraction: 647/2,000
:: Final answer ::
Written in 3 different ways
As a reduced (simplified) positive proper fraction:
0.3235 = 647/2,000
As a percentage:
0.3235 = 32.35%
As equivalent fractions:
0.3235 = 647/2,000 = 3,882/12,000 = 6,470/20,000
More operations of this kind
Decimal numbers to fractions and percentages, calculator