238/189 Simplified

Learn how to find what is 238/189 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 238/189 in simplest form.

To simplify 238/189 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 238/189 can be reduced in simplest form. In this case, the greatest common divisor of 238 and 189 is 7. Dividing both the numerator and denominator by GCD, the fraction 238/189 becomes 34/27 which is the simplest form.

Simplify 238/189 as a Fraction
Using Factorization:
238/189 = (?)
238/189 = (2 x 7 x 17)/(3 x 3 x 3 x 7)      //write 238/189 in terms of factors
= 34/27
238/189 = 34/27
238/189 simplified is 34/27

Using GCD:
238/189 = (?)
GCD of 238 and 189 is 7.
238/189 = (238/7)/(189/7)
= 34/27
238/189 = 34/27
238/189 simplified is 34/27 in fraction form
where,
238/189 is the given fraction to be simplified,
34/27 is the lowest term of 238/189.

Notes: Simplify 238/189 in lowest terms
1. 238/189 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 238 and 189 is 7 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 238/189 can be represented in its reduced form.
2. On the other hand, you can also reduce 238/189 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 238/189 becomes (2 x 7 x 17)/(3 x 3 x 3 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 238/189 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 238/189

what to be found:
238/189 = ?
Simplify 238/189 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 238/189.
Prime factors of 238 = 2 x 7 x 17

step 3 Find the prime factors of the denominator of given fraction 238/189.
Prime factors of 189 = 3 x 3 x 3 x 7

step 4 Rewrite the fraction 238/189 in the form of prime factors as like the below:
238/189= (2 x 7 x 17) / (3 x 3 x 3 x 7)

step 5 Check and reduce the factors of 238 and 189 if any factors in the numerator and denominator cancel each other:
= (2 x 7 x 17) / (3 x 3 x 3 x 7)
= (2 x 17)/(3 x 3 x 3 )
238/189 = 34/27

Hence,
238/189 in simplest form is 34/27.

Representing fraction 238/189 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 238/189 in its lowest terms.