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:
66 = 2 × 3 × 11
66 is a composite number.
Written with exponents:
4,000,000,052 = 2 × 2 × 7,699 × 129,887 = 22 × 7,699 × 129,887
4,000,000,052 is a composite number.
66/4,000,000,052 =
(66 ÷ 2) / (4,000,000,052 ÷ 2) =
33/2,000,000,026
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.
66/4,000,000,052 =
(2 × 3 × 11)/(22 × 7,699 × 129,887) =
((2 × 3 × 11) ÷ 2) / ((22 × 7,699 × 129,887) ÷ 2) =
(3 × 11)/(2 × 7,699 × 129,887) =
33/2,000,000,026
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
33/2,000,000,026 =
33 ÷ 2,000,000,026 =
0.0000000165 ≈
0