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:
Written with exponents:
76 = 2 × 2 × 19 = 22 × 19
76 is a composite number.
4,000,000,058 = 2 × 23 × 97 × 733 × 1,223
4,000,000,058 is a composite number.
76/4,000,000,058 =
(76 ÷ 2) / (4,000,000,058 ÷ 2) =
38/2,000,000,029
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.
76/4,000,000,058 =
(22 × 19)/(2 × 23 × 97 × 733 × 1,223) =
((22 × 19) ÷ 2) / ((2 × 23 × 97 × 733 × 1,223) ÷ 2) =
(2 × 19)/(23 × 97 × 733 × 1,223) =
38/2,000,000,029
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
38/2,000,000,029 =
38 ÷ 2,000,000,029 =
0.000000019 ≈
0