Reduce the Common Fraction 77/77, Simplify It to the Lowest Terms, the Simplest Equivalent Form, Irreducible. Online Calculator
After reducing 77/77, the simplified fraction is converted and written as a decimal number and as a percentage
Detailed calculations and explanations, below
A common ordinary fraction is made up of
two integer numbers and a fraction bar:
77/77
The integer number above the bar is called the numerator: 77
The integer number below the bar is called the denominator: 77
The fraction bar means that the numerator is dividing by the denominator.
To get the fraction's value divide the numerator by the denominator:
The value = 77 ÷ 77
To completely reduce a fraction to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF
Calculate the greatest common factor, GCF:
In this particular case, where the values of the numerator and of the denominator are equal, the value of their greatest common factor, GCF, is equal to that of the numerator and of the denominator.
GCF (77; 77) = 77
Reduce (simplify) the common ordinary fraction:
Divide the numerator and the denominator by their GCF.
77/77 =
(77 ÷ 77)/(77 ÷ 77) =
1/1 =
1
The fraction is now reduced to the lowest terms equivalent.
The fraction is called irreducible and it has the smallest possible numerator and denominator.
The fraction 1/1 is an improper fraction (the numerator = the denominator).
When it's 1, the denominator of the fraction can be omitted.
Why do we try to simplify fractions?
By reducing the values of the numerator and of the denominator of a fraction the calculations with that fraction are becoming easier to do.
Rewrite the fraction
As a percentage:
A percentage value p% is equal to the fraction: p/100, for any decimal number p. So, we need to change the form of the number calculated above, to show a denominator of 100.
To do that, multiply the number by the fraction 100/100.
The value of the fraction 100/100 = 1, so by multiplying the number by this fraction the result is not changing, only the form.
1 =
1 × 100/100 =
100/100 =
100%
In other words:
(1) Calculate the fraction's value, (2) multiply that number by 100, and (3) add the percent sign % to it.
The final answer:
written in three ways
As an improper fraction:
(|the numerator| = |the denominator|):
77/77 = 1/1
As a positive integer number:
77/77 = 1
As a percentage:
77/77 = 100%
More operations like this:
How are the numbers written: comma ',' used as a thousands separator; point '.' as a decimal separator; numbers rounded off to max. 12 decimals (if the case). Used symbols: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.
Reduce (simplify) common fractions, online calculator