270/102 Simplified

Learn how to find what is 270/102 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 270/102 in simplest form.

To simplify 270/102 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 270/102 can be reduced in simplest form. In this case, the greatest common divisor of 270 and 102 is 6. Dividing both the numerator and denominator by GCD, the fraction 270/102 becomes 45/17 which is the simplest form.

Simplify 270/102 as a Fraction
Using Factorization:
270/102 = (?)
270/102 = (2 x 3 x 3 x 3 x 5)/(2 x 3 x 17)      //write 270/102 in terms of factors
= 45/17
270/102 = 45/17
270/102 simplified is 45/17

Using GCD:
270/102 = (?)
GCD of 270 and 102 is 6.
270/102 = (270/6)/(102/6)
= 45/17
270/102 = 45/17
270/102 simplified is 45/17 in fraction form
where,
270/102 is the given fraction to be simplified,
45/17 is the lowest term of 270/102.

Notes: Simplify 270/102 in lowest terms
1. 270/102 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 270 and 102 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 270/102 can be represented in its reduced form.
2. On the other hand, you can also reduce 270/102 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 270/102 becomes (2 x 3 x 3 x 3 x 5)/(2 x 3 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 270/102 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 270/102

what to be found:
270/102 = ?
Simplify 270/102 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 270/102.
Prime factors of 270 = 2 x 3 x 3 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 270/102.
Prime factors of 102 = 2 x 3 x 17

step 4 Rewrite the fraction 270/102 in the form of prime factors as like the below:
270/102= (2 x 3 x 3 x 3 x 5) / (2 x 3 x 17)

step 5 Check and reduce the factors of 270 and 102 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 3 x 3 x 5) / (2 x 3 x 17)
= ( 3 x 3 x 5)/( 17)
270/102 = 45/17

Hence,
270/102 in simplest form is 45/17.

Representing fraction 270/102 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 270/102 in its lowest terms.