Convert the decimal number 456.37. Turn it into a reduced (simplified) improper fraction, into a mixed number and write it as a percentage value. Equivalent fractions calculator
Convert 456.37 into equivalent fractions and write it as a percentage value
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
456.37 =
456.37 × 100/100 =
(456.37 × 100)/100 =
45,637/100 =
45,637%
In other words:
Multiply the number by 100...
... And then add the percent sign, %
456.37 = 45,637%
2. Write the number as an improper fraction.
456.37 can be written as an improper fraction.
The numerator is larger than or equal to the denominator.
Write down the number divided by 1, as a fraction:
456.37 = 456.37/1
Turn the top number into a whole number.
Multiply both the top and the bottom by the same number.
This number is: 100.
1 followed by as many 0-s as the number of digits after the decimal point.
456.37/1 =
(456.37 × 100)/(1 × 100) =
45,637/100
3. Reduce (simplify) the fraction above: 45,637/100
(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):
45,637 = 47 × 971
100 = 22 × 52
Calculate the greatest (highest) common factor (divisor), GCF.
Multiply all the common prime factors by the lowest exponents.
But, the numerator and the denominator have no common factors.
GCF (47 × 971; 22 × 52) = 1
The numerator and the denominator are coprime numbers (no common prime factors, GCF = 1). So, the fraction cannot be reduced (simplified): irreducible fraction.
4. The fraction is an improper one, rewrite it as a mixed number (mixed fraction):
A mixed number = an integer number and a proper fraction, of the same sign.
Example 1: 2 1/5; Example 2: - 1 3/7.
A proper fraction = the numerator is smaller than the denominator.
45,637 ÷ 100 = 456, remainder = 37 ⇒
45,637 = 456 × 100 + 37 ⇒
45,637/100 =
(456 × 100 + 37) / 100 =
(456 × 100) / 100 + 37/100 =
456 + 37/100 =
456 37/100
45,637/100: 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:
45,637/100 = (45,637 × 4)/(100 × 4) = 182,548/400
Example 2. By expanding the fraction by 5:
45,637/100 = (45,637 × 5)/(100 × 5) = 228,185/500
Of course, the above fractions are reducing...
... to the initial fraction: 45,637/100
:: Final answer ::
Written in 4 different ways
As a reduced (simplified) positive improper fraction:
456.37 = 45,637/100
As a mixed number:
456.37 = 456 37/100
As a percentage:
456.37 = 45,637%
As equivalent fractions:
456.37 = 45,637/100 = 182,548/400 = 228,185/500
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