39/78 Simplified

Learn how to find what is 39/78 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 39/78 in simplest form.

To reduce 39/78 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 39/78 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 39 and 78 is 39. Dividing both the numerator and denominator by GCF, the fraction 39/78 becomes 1/2 which is the simplest form.

39/78 Simplified as a Fraction
Using Factorization:
39/78 = (?)
39/78 = (3 x 13)/(2 x 3 x 13)      write 39/78 in terms of factors
= 1/2
39/78 = 1/2
39/78 simplified is 1/2

Using GCF
39/78 = (?)
GCF of 39 and 78 is 39.
39/78 = (39/39)/(78/39)
= 1/2
39/78 = 1/2
39/78 simplified is 1/2 in fraction form
where,
39/78 is the given fraction to be simplified,
1/2 is the lowest term of 39/78.

Notes: 39/78 simplified in lowest terms
1. 39/78 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 39 and 78 is 39 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 39/78 can be represented in its reduced form.
2. On the other hand, you can also reduce 39/78 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 39/78 becomes (3 x 13)/(2 x 3 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 39/78 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 39/78

what to be found:
39/78 = ?
Reduce 39/78 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 39/78.
Prime factors of 39 = 3 x 13

step 3 Find the prime factors of the denominator of given fraction 39/78.
Prime factors of 78 = 2 x 3 x 13

step 4 Rewrite the fraction 39/78 in the form of prime factors as like the below:
39/78= (3 x 13) / (2 x 3 x 13)

step 5 Check and reduce the factors of 39 and 78 if any factors in the numerator and denominator cancel each other:
= (3 x 13) / (2 x 3 x 13)
= (1)/(2 )
39/78 = 1/2
Hence,
39/78 in simplest form is 1/2.

39/78 simplified is 1/2, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 39/78 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 39/78 in its lowest terms.