Detailed calculations and explanations, below
A common ordinary fraction is made up of
two integer numbers and a fraction bar:
969,696,914/7,999,999,978
- The integer number above the bar is called numerator: 969,696,914
- The integer number below the bar is called denominator: 7,999,999,978
- 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 = 969,696,914 ÷ 7,999,999,978
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:
969,696,914 = 2 × 484,848,457
969,696,914 is a composite number.
7,999,999,978 = 2 × 17 × 23 × 10,230,179
7,999,999,978 is a composite number.
969,696,914/7,999,999,978 =
(969,696,914 ÷ 2) / (7,999,999,978 ÷ 2) =
484,848,457/3,999,999,989
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.
969,696,914/7,999,999,978 =
(2 × 484,848,457)/(2 × 17 × 23 × 10,230,179) =
((2 × 484,848,457) ÷ 2) / ((2 × 17 × 23 × 10,230,179) ÷ 2) =
484,848,457/(17 × 23 × 10,230,179) =
484,848,457/3,999,999,989
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
484,848,457/3,999,999,989 =
484,848,457 ÷ 3,999,999,989 =
0.121212114583 ≈
0.12