Convert the decimal number 0.11666668. 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 0.11666668
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
0.11666668 =
0.11666668 × 100/100 =
(0.11666668 × 100)/100 =
11.666668/100 =
11.666668% ≈
11.67%
(rounded off to a maximum of 2 decimal places)
In other words:
Multiply the number by 100...
... And then add the percent sign, %
0.11666668 ≈ 11.67%
2. Write the number as a proper fraction.
0.11666668 can be written as a proper fraction.
The numerator is smaller than the denominator.
Write down the number divided by 1, as a fraction:
0.11666668 = 0.11666668/1
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.
0.11666668/1 =
(0.11666668 × 100,000,000)/(1 × 100,000,000) =
11,666,668/100,000,000
3. Reduce (simplify) the fraction above: 11,666,668/100,000,000
(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):
11,666,668 = 22 × 13 × 224,359
100,000,000 = 28 × 58
Calculate the greatest (highest) common factor (divisor), GCF.
Multiply all the common prime factors by the lowest exponents.
GCF (22 × 13 × 224,359; 28 × 58) = 22
Divide both the numerator and the denominator by their greatest common factor, GCF.
11,666,668/100,000,000 =
(22 × 13 × 224,359)/(28 × 58) =
((22 × 13 × 224,359) ÷ 22) / ((28 × 58) ÷ 22) =
(13 × 224,359)/(26 × 58) =
2,916,667/25,000,000
2,916,667/25,000,000: 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 5:
2,916,667/25,000,000 = (2,916,667 × 5)/(25,000,000 × 5) = 14,583,335/125,000,000
Example 2. By expanding the fraction by 9:
2,916,667/25,000,000 = (2,916,667 × 9)/(25,000,000 × 9) = 26,250,003/225,000,000
Of course, the above fractions are reducing...
... to the initial fraction: 2,916,667/25,000,000
:: Final answer ::
Written in 3 different ways
As a reduced (simplified) positive proper fraction:
0.11666668 = 2,916,667/25,000,000
As a percentage:
0.11666668 ≈ 11.67%
As equivalent fractions:
0.11666668 = 2,916,667/25,000,000 = 14,583,335/125,000,000 = 26,250,003/225,000,000
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