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:
5 is a prime number, it cannot be factored (into other prime factors).
Written with exponents:
499,999,999,995 = 3 × 3 × 5 × 21,649 × 513,239 = 32 × 5 × 21,649 × 513,239
499,999,999,995 is a composite number.
5/499,999,999,995 =
(5 ÷ 5) / (499,999,999,995 ÷ 5) =
1/99,999,999,999
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.
5/499,999,999,995 =
5/(32 × 5 × 21,649 × 513,239) =
(5 ÷ 5) / ((32 × 5 × 21,649 × 513,239) ÷ 5) =
1/(32 × 21,649 × 513,239) =
1/99,999,999,999
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
1/99,999,999,999 =
1 ÷ 99,999,999,999 =
0.00000000001 ≈
0