Detailed calculations below:
A fraction consists of two numbers and a fraction bar: 5/156
The number above the bar is the numerator: 5
The number below the bar is the denominator: 156
The fraction bar means that the two numbers are dividing themselves:
5/156 = 5 ÷ 156
Divide the numerator by the denominator to get fraction's value:
Value = 5 ÷ 156
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% = p/100 = p ÷ 100
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.
Integer numbers prime factorization:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
5 is a prime number, it cannot be broken down to other prime factors;
156 = 22 × 3 × 13;
156 is not a prime, is a composite number;
* 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.
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 (5; 156) = 1
coprime numbers (relatively prime)
Fraction's numerator and denominator are coprime numbers (no common prime factors). Fraction cannot be reduced (simplified) - irreducible.
5/156 is a proper fraction.
A proper fraction: numerator smaller than denominator.
Rewrite the fraction:
As a decimal number:
5 ÷ 156 ≈
As a percentage:
0.032051282051 × 100/100 =
In other words:
1) Calculate fraction's value.
2) Multiply that number by 100.
3) Add the percent sign % to it.