134/82 Simplified

Learn how to find what is 134/82 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 134/82 in simplest form.

To reduce 134/82 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 134/82 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 134 and 82 is 2. Dividing both the numerator and denominator by GCF, the fraction 134/82 becomes 67/41 which is the simplest form.

134/82 Simplified as a Fraction
Using Factorization:
134/82 = (?)
134/82 = (2 x 67)/(2 x 41)      write 134/82 in terms of factors
= 67/41
134/82 = 67/41
134/82 simplified is 67/41

Using GCF
134/82 = (?)
GCF of 134 and 82 is 2.
134/82 = (134/2)/(82/2)
= 67/41
134/82 = 67/41
134/82 simplified is 67/41 in fraction form
where,
134/82 is the given fraction to be simplified,
67/41 is the lowest term of 134/82.

Notes: 134/82 simplified in lowest terms
1. 134/82 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 134 and 82 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 134/82 can be represented in its reduced form.
2. On the other hand, you can also reduce 134/82 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 134/82 becomes (2 x 67)/(2 x 41). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 134/82 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 134/82

what to be found:
134/82 = ?
Reduce 134/82 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 134/82.
Prime factors of 134 = 2 x 67

step 3 Find the prime factors of the denominator of given fraction 134/82.
Prime factors of 82 = 2 x 41

step 4 Rewrite the fraction 134/82 in the form of prime factors as like the below:
134/82= (2 x 67) / (2 x 41)

step 5 Check and reduce the factors of 134 and 82 if any factors in the numerator and denominator cancel each other:
= (2 x 67) / (2 x 41)
= ( 67)/( 41)
134/82 = 67/41
Hence,
134/82 in simplest form is 67/41.

134/82 simplified is 67/41, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 134/82 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 134/82 in its lowest terms.