Detailed calculations and explanations, below
A common ordinary fraction is made up of
two integer numbers and a fraction bar:
992,720,772/17,999,999,984
- The integer number above the bar is called numerator: 992,720,772
- The integer number below the bar is called denominator: 17,999,999,984
- 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 = 992,720,772 ÷ 17,999,999,984
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:
992,720,772 = 2 × 2 × 3 × 3 × 3 × 3 × 1,289 × 2,377 = 22 × 34 × 1,289 × 2,377
992,720,772 is a composite number.
Written with exponents:
17,999,999,984 = 2 × 2 × 2 × 2 × 1,124,999,999 = 24 × 1,124,999,999
17,999,999,984 is a composite number.
992,720,772/17,999,999,984 =
(992,720,772 ÷ 4) / (17,999,999,984 ÷ 4) =
248,180,193/4,499,999,996
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.
992,720,772/17,999,999,984 =
(22 × 34 × 1,289 × 2,377)/(24 × 1,124,999,999) =
((22 × 34 × 1,289 × 2,377) ÷ 22) / ((24 × 1,124,999,999) ÷ 22) =
(34 × 1,289 × 2,377)/(22 × 1,124,999,999) =
248,180,193/4,499,999,996
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
248,180,193/4,499,999,996 =
248,180,193 ÷ 4,499,999,996 =
0.055151154049 ≈
0.06