What is 99999999999/99999 simplified as a fraction?
99999999999/99999 in simplest form is 11111111111/11111.
Learn how to find what is 99999999999/99999 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 99999999999/99999 in simplest form.
To simplify 99999999999/99999 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 99999999999/99999 can be reduced in simplest form. In this case, the greatest common divisor of 99999999999 and 99999 is 9. Dividing both the numerator and denominator by GCD, the fraction 99999999999/99999 becomes 11111111111/11111 which is the simplest form.
Simplify 99999999999/99999 as a Fraction
Using Factorization:
99999999999/99999 = (?)
99999999999/99999 = (3 x 3 x 21649 x 513239)/(3 x 3 x 41 x 271) //write 99999999999/99999 in terms of factors
= 11111111111/11111
99999999999/99999 = 11111111111/11111
99999999999/99999 simplified is 11111111111/11111
Using GCD:
99999999999/99999 = (?)
GCD of 99999999999 and 99999 is 9.
99999999999/99999 = (99999999999/9)/(99999/9)
= 11111111111/11111
99999999999/99999 = 11111111111/11111
99999999999/99999 simplified is 11111111111/11111 in fraction form
where,
99999999999/99999 is the given fraction to be simplified,
11111111111/11111 is the lowest term of 99999999999/99999.
Notes: Simplify 99999999999/99999 in lowest terms
1. 99999999999/99999 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 99999999999 and 99999 is 9 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 99999999999/99999 can be represented in its reduced form.
2. On the other hand, you can also reduce 99999999999/99999 in simplest form by using the factorization method. In this case, the numerator and denominator of fraction should be written in the form of prime factors, so the fraction 99999999999/99999 becomes (3 x 3 x 21649 x 513239)/(3 x 3 x 41 x 271). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 99999999999/99999 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 99999999999/99999
what to be found:
99999999999/99999 = ?
Simplify 99999999999/99999 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 99999999999/99999.
Prime factors of 99999999999 = 3 x 3 x 21649 x 513239
step 3 Find the prime factors of the denominator of given fraction 99999999999/99999.
Prime factors of 99999 = 3 x 3 x 41 x 271
step 4 Rewrite the fraction 99999999999/99999 in the form of prime factors as like the below:
99999999999/99999= (3 x 3 x 21649 x 513239) / (3 x 3 x 41 x 271)
step 5 Check and reduce the factors of 99999999999 and 99999 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 21649 x 513239) / (3 x 3 x 41 x 271)
= ( 21649 x 513239)/( 41 x 271)
99999999999/99999 = 11111111111/11111
Hence,
99999999999/99999 in simplest form is 11111111111/11111.
Representing fraction 99999999999/99999 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 99999999999/99999 in its lowest terms.