Convert the decimal number - 0.3844. 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 - 0.3844
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
- 0.3844 =
- 0.3844 × 100/100 =
- (0.3844 × 100)/100 =
- 38.44/100 =
- 38.44%
In other words:
Multiply the number by 100...
... And then add the percent sign, %
- 0.3844 = - 38.44%
2. Write the number as a proper fraction.
- 0.3844 can be written as a proper fraction.
The numerator is smaller than the denominator.
Write down the number divided by 1, as a fraction:
- 0.3844 = - 0.3844/1
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.
- 0.3844/1 =
- (0.3844 × 10,000)/(1 × 10,000) =
- 3,844/10,000
3. Reduce (simplify) the fraction above: - 3,844/10,000
(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):
3,844 = 22 × 312
10,000 = 24 × 54
Calculate the greatest (highest) common factor (divisor), GCF.
Multiply all the common prime factors by the lowest exponents.
GCF (22 × 312; 24 × 54) = 22
Divide both the numerator and the denominator by their greatest common factor, GCF.
- 3,844/10,000 =
- (22 × 312)/(24 × 54) =
- ((22 × 312) ÷ 22) / ((24 × 54) ÷ 22) =
- 312/(22 × 54) =
- 961/2,500
- 961/2,500: 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 5:
- 961/2,500 = - (961 × 5)/(2,500 × 5) = - 4,805/12,500
Example 2. By expanding the fraction by 7:
- 961/2,500 = - (961 × 7)/(2,500 × 7) = - 6,727/17,500
Of course, the above fractions are reducing...
... to the initial fraction: - 961/2,500
:: Final answer ::
Written in 3 different ways
As a reduced (simplified) negative proper fraction:
- 0.3844 = - 961/2,500
As a percentage:
- 0.3844 = - 38.44%
As equivalent fractions:
- 0.3844 = - 961/2,500 = - 4,805/12,500 = - 6,727/17,500
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