765/34 Simplified

Learn how to find what is 765/34 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 765/34 in simplest form.

To reduce 765/34 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 765/34 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 765 and 34 is 17. Dividing both the numerator and denominator by GCF, the fraction 765/34 becomes 45/2 which is the simplest form.

765/34 Simplified as a Fraction
Using Factorization:
765/34 = (?)
765/34 = (3 x 3 x 5 x 17)/(2 x 17)      write 765/34 in terms of factors
= 45/2
765/34 = 45/2
765/34 simplified is 45/2

Using GCF
765/34 = (?)
GCF of 765 and 34 is 17.
765/34 = (765/17)/(34/17)
= 45/2
765/34 = 45/2
765/34 simplified is 45/2 in fraction form
where,
765/34 is the given fraction to be simplified,
45/2 is the lowest term of 765/34.

Notes: 765/34 simplified in lowest terms
1. 765/34 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 765 and 34 is 17 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 765/34 can be represented in its reduced form.
2. On the other hand, you can also reduce 765/34 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 765/34 becomes (3 x 3 x 5 x 17)/(2 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 765/34 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 765/34

what to be found:
765/34 = ?
Reduce 765/34 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 765/34.
Prime factors of 765 = 3 x 3 x 5 x 17

step 3 Find the prime factors of the denominator of given fraction 765/34.
Prime factors of 34 = 2 x 17

step 4 Rewrite the fraction 765/34 in the form of prime factors as like the below:
765/34= (3 x 3 x 5 x 17) / (2 x 17)

step 5 Check and reduce the factors of 765 and 34 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 5 x 17) / (2 x 17)
= (3 x 3 x 5 )/(2 )
765/34 = 45/2
Hence,
765/34 in simplest form is 45/2.

765/34 simplified is 45/2, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 765/34 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 765/34 in its lowest terms.