A fraction consists of two numbers and a fraction bar: 6,200/163
The number above the bar is the numerator: 6,200
The number below the bar is the denominator: 163
The fraction bar means that the two numbers are dividing themselves:
6,200/163 = 6,200 ÷ 163
Divide the numerator by the denominator to get fraction's value:
Value = 6,200 ÷ 163
Introduction. Percent
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% = p/100 = p ÷ 100
Note:
The fraction 100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF.
To calculate the greatest common factor, we build the prime factorization of the two numbers.
Integer numbers prime factorization:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
6,200 = 23 × 52 × 31;
6,200 is not a prime, is a composite number;
163 is a prime number, it cannot be broken down to other prime factors;
* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.
>> Integer numbers prime factorization
Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:
Multiply all the common prime factors, by the lowest exponents (if any).
But the two numbers have no common prime factors.
gcf, hcf, gcd (6,200; 163) = 1
coprime numbers (relatively prime)
>> Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd
Fraction's numerator and denominator are coprime numbers (no common prime factors). Fraction cannot be reduced (simplified) - irreducible.
6,200/163 is an improper fraction.
An improper fraction: numerator larger than denominator.
Rewrite the fraction:
As a mixed number (mixed fraction):
A mixed number (mixed fraction): a whole number and a proper fraction, of the same sign.
A proper fraction: numerator smaller than denominator.
6,200 ÷ 163 = 38 and remainder = 6 =>
6,200 = 38 × 163 + 6 =>
6,200/163 =
(38 × 163 + 6) / 163 =
(38 × 163) / 163 + 6 / 163 =
38 + 6/163 =
38 6/163
As a decimal number:
38 6/163 =
38 + 6/163 =
38 + 6 ÷ 163 ≈
38.036809815951 ≈
38.04
As a percentage:
38.036809815951 =
38.036809815951 × 100/100 =
3,803.680981595092/100 =
3,803.680981595092% ≈
3,803.68%
In other words:
1) Calculate fraction's value.
2) Multiply that number by 100.
3) Add the percent sign % to it.
Final answer
Final
:: written in four ways ::
As an improper fraction
(numerator larger than denominator):
6,200/163 = 6,200/163
As a mixed number (mixed fraction)
(a whole number and a proper fraction, of the same sign):
6,200/163 = 38 6/163
As a decimal number:
6,200/163 ≈ 38.036809815951 ≈ 38.04
As a percentage:
6,200/163 ≈ 3,803.68%
