705/2700 Simplified

Learn how to find what is 705/2700 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 705/2700 in simplest form.

To simplify 705/2700 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 705/2700 can be reduced in simplest form. In this case, the greatest common divisor of 705 and 2700 is 15. Dividing both the numerator and denominator by GCD, the fraction 705/2700 becomes 47/180 which is the simplest form.

Simplify 705/2700 as a Fraction
Using Factorization:
705/2700 = (?)
705/2700 = (3 x 5 x 47)/(2 x 2 x 3 x 3 x 3 x 5 x 5)      //write 705/2700 in terms of factors
= 47/180
705/2700 = 47/180
705/2700 simplified is 47/180

Using GCD:
705/2700 = (?)
GCD of 705 and 2700 is 15.
705/2700 = (705/15)/(2700/15)
= 47/180
705/2700 = 47/180
705/2700 simplified is 47/180 in fraction form
where,
705/2700 is the given fraction to be simplified,
47/180 is the lowest term of 705/2700.

Notes: Simplify 705/2700 in lowest terms
1. 705/2700 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 705 and 2700 is 15 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 705/2700 can be represented in its reduced form.
2. On the other hand, you can also reduce 705/2700 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 705/2700 becomes (3 x 5 x 47)/(2 x 2 x 3 x 3 x 3 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 705/2700 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 705/2700

what to be found:
705/2700 = ?
Simplify 705/2700 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 705/2700.
Prime factors of 705 = 3 x 5 x 47

step 3 Find the prime factors of the denominator of given fraction 705/2700.
Prime factors of 2700 = 2 x 2 x 3 x 3 x 3 x 5 x 5

step 4 Rewrite the fraction 705/2700 in the form of prime factors as like the below:
705/2700= (3 x 5 x 47) / (2 x 2 x 3 x 3 x 3 x 5 x 5)

step 5 Check and reduce the factors of 705 and 2700 if any factors in the numerator and denominator cancel each other:
= (3 x 5 x 47) / (2 x 2 x 3 x 3 x 3 x 5 x 5)
= ( 47)/(2 x 2 x 3 x 3 x 5)
705/2700 = 47/180

Hence,
705/2700 in simplest form is 47/180.

Representing fraction 705/2700 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 705/2700 in its lowest terms.