Detailed calculations and explanations, below
A common ordinary fraction is made up of
two integer numbers and a fraction bar:
327,083,302/4,999,999,944
- The integer number above the bar is called numerator: 327,083,302
- The integer number below the bar is called denominator: 4,999,999,944
- The fraction bar means that the numerator is divided by the denominator.
- To get the fraction's value divide the numerator by the denominator:
The value = 327,083,302 ÷ 4,999,999,944
To reduce a fraction to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF
To calculate the greatest common factor, GCF:
- 1. Factor the numerator and the denominator (into prime factors), build their prime factorizations.
- 2. Multiply all their common prime factors, taken by the lowest exponents.
1. Factor the numerator and the denominator:
To factor a number (into prime factors) - or, in other words, to break it down to prime factors - or, in other words, to build its prime factorization: find the prime numbers that multiply together to get that number.
The prime factorizations:
327,083,302 = 2 × 7 × 13 × 1,797,161
327,083,302 is a composite number.
Written with exponents:
4,999,999,944 = 2 × 2 × 2 × 3 × 1,409 × 147,859 = 23 × 3 × 1,409 × 147,859
4,999,999,944 is a composite number.
327,083,302/4,999,999,944 =
(327,083,302 ÷ 2) / (4,999,999,944 ÷ 2) =
163,541,651/2,499,999,972
Yet another method to reduce the fraction
To reduce a fraction without calculating the GCF: factor its numerator and denominator, then all the common prime factors are easily identified and crossed out.
327,083,302/4,999,999,944 =
(2 × 7 × 13 × 1,797,161)/(23 × 3 × 1,409 × 147,859) =
((2 × 7 × 13 × 1,797,161) ÷ 2) / ((23 × 3 × 1,409 × 147,859) ÷ 2) =
(7 × 13 × 1,797,161)/(22 × 3 × 1,409 × 147,859) =
163,541,651/2,499,999,972
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
163,541,651/2,499,999,972 =
163,541,651 ÷ 2,499,999,972 =
0.065416661133 ≈
0.07