Detailed calculations below:
Introduction. Fractions
A fraction consists of two numbers and a fraction bar: 3,408/9
The number above the bar is the numerator: 3,408
The number below the bar is the denominator: 9
The fraction bar means that the two numbers are dividing themselves:
3,408/9 = 3,408 ÷ 9
Divide the numerator by the denominator to get fraction's value:
Value = 3,408 ÷ 9
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.
Integer numbers prime factorization:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
3,408 = 24 × 3 × 71;
3,408 is not a prime, is a composite number;
9 = 32;
9 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).
gcf, hcf, gcd (3,408; 9) = 3
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.
1,136 ÷ 3 = 378 and remainder = 2 =>
1,136 = 378 × 3 + 2 =>
1,136/3 =
(378 × 3 + 2) / 3 =
(378 × 3) / 3 + 2 / 3 =
378 + 2/3 =
378 2/3
As a decimal number:
378 2/3 =
378 + 2/3 =
378 + 2 ÷ 3 ≈
378.666666666667 ≈
378.67
As a percentage:
378.666666666667 =
378.666666666667 × 100/100 =
37,866.666666666667/100 =
37,866.666666666667% ≈
37,866.67%
In other words:
1) Calculate fraction's value.
2) Multiply that number by 100.
3) Add the percent sign % to it.
Final answer
continued below...