Detailed calculations below:
Introduction. Fractions
A fraction consists of two numbers and a fraction bar: 1,256/128
The number above the bar is the numerator: 1,256
The number below the bar is the denominator: 128
The fraction bar means that the two numbers are dividing themselves:
1,256/128 = 1,256 ÷ 128
Divide the numerator by the denominator to get fraction's value:
Value = 1,256 ÷ 128
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.
1,256 = 23 × 157;
1,256 is not a prime, is a composite number;
128 = 27;
128 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 (1,256; 128) = 23 = 8
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.
157 ÷ 16 = 9 and remainder = 13 =>
157 = 9 × 16 + 13 =>
157/16 =
(9 × 16 + 13) / 16 =
(9 × 16) / 16 + 13 / 16 =
9 + 13/16 =
9 13/16
As a decimal number:
9 13/16 =
9 + 13/16 =
9 + 13 ÷ 16 =
9.8125 ≈
9.81
As a percentage:
9.8125 =
9.8125 × 100/100 =
981.25/100 =
981.25%
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...