78/182 Simplified

Learn how to find what is 78/182 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 78/182 in simplest form.

To reduce 78/182 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 78/182 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 78 and 182 is 26. Dividing both the numerator and denominator by GCF, the fraction 78/182 becomes 3/7 which is the simplest form.

78/182 Simplified as a Fraction
Using Factorization:
78/182 = (?)
78/182 = (2 x 3 x 13)/(2 x 7 x 13)      write 78/182 in terms of factors
= 3/7
78/182 = 3/7
78/182 simplified is 3/7

Using GCF
78/182 = (?)
GCF of 78 and 182 is 26.
78/182 = (78/26)/(182/26)
= 3/7
78/182 = 3/7
78/182 simplified is 3/7 in fraction form
where,
78/182 is the given fraction to be simplified,
3/7 is the lowest term of 78/182.

Notes: 78/182 simplified in lowest terms
1. 78/182 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 78 and 182 is 26 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 78/182 can be represented in its reduced form.
2. On the other hand, you can also reduce 78/182 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 78/182 becomes (2 x 3 x 13)/(2 x 7 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 78/182 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 78/182

what to be found:
78/182 = ?
Reduce 78/182 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 78/182.
Prime factors of 78 = 2 x 3 x 13

step 3 Find the prime factors of the denominator of given fraction 78/182.
Prime factors of 182 = 2 x 7 x 13

step 4 Rewrite the fraction 78/182 in the form of prime factors as like the below:
78/182= (2 x 3 x 13) / (2 x 7 x 13)

step 5 Check and reduce the factors of 78 and 182 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 13) / (2 x 7 x 13)
= ( 3 )/( 7 )
78/182 = 3/7
Hence,
78/182 in simplest form is 3/7.

78/182 simplified is 3/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 78/182 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 78/182 in its lowest terms.