102/69 Simplified

Learn how to find what is 102/69 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 102/69 in simplest form.

To reduce 102/69 in its lowest terms, you must be familiar with either how to find the greatest common factor or prime factors. Both of these methods are used to recognize if 102/69 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 102 and 69 is 3. Dividing both the numerator and denominator by GCF, the fraction 102/69 becomes 34/23 which is the simplest form.

102/69 Simplified as a Fraction
Using Factorization:
102/69 = (?)
102/69 = (2 x 3 x 17)/(3 x 23)      write 102/69 in terms of factors
= 34/23
102/69 = 34/23
102/69 simplified is 34/23

Using GCF
102/69 = (?)
GCF of 102 and 69 is 3.
102/69 = (102/3)/(69/3)
= 34/23
102/69 = 34/23
102/69 simplified is 34/23 in fraction form
where,
102/69 is the given fraction to be simplified,
34/23 is the lowest term of 102/69.

Notes: 102/69 simplified in lowest terms
1. 102/69 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 102 and 69 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 102/69 can be represented in its reduced form.
2. On the other hand, you can also reduce 102/69 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 102/69 becomes (2 x 3 x 17)/(3 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 102/69 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 102/69

what to be found:
102/69 = ?
Reduce 102/69 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 102/69.
Prime factors of 102 = 2 x 3 x 17

step 3 Find the prime factors of the denominator of given fraction 102/69.
Prime factors of 69 = 3 x 23

step 4 Rewrite the fraction 102/69 in the form of prime factors as like the below:
102/69= (2 x 3 x 17) / (3 x 23)

step 5 Check and reduce the factors of 102 and 69 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 17) / (3 x 23)
= (2 x 17)/( 23)
102/69 = 34/23
Hence,
102/69 in simplest form is 34/23.

102/69 simplified is 34/23, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 102/69 to its simplest form involves the greatest common factor or factorization. Recognizing the GCF or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 102/69 in its lowest terms.