108/140 Simplified

Learn how to find what is 108/140 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 108/140 in simplest form.

To reduce 108/140 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 108/140 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 108 and 140 is 4. Dividing both the numerator and denominator by GCF, the fraction 108/140 becomes 27/35 which is the simplest form.

108/140 Simplified as a Fraction
Using Factorization:
108/140 = (?)
108/140 = (2 x 2 x 3 x 3 x 3)/(2 x 2 x 5 x 7)      write 108/140 in terms of factors
= 27/35
108/140 = 27/35
108/140 simplified is 27/35

Using GCF
108/140 = (?)
GCF of 108 and 140 is 4.
108/140 = (108/4)/(140/4)
= 27/35
108/140 = 27/35
108/140 simplified is 27/35 in fraction form
where,
108/140 is the given fraction to be simplified,
27/35 is the lowest term of 108/140.

Notes: 108/140 simplified in lowest terms
1. 108/140 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 108 and 140 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 108/140 can be represented in its reduced form.
2. On the other hand, you can also reduce 108/140 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 108/140 becomes (2 x 2 x 3 x 3 x 3)/(2 x 2 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 108/140 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 108/140

what to be found:
108/140 = ?
Reduce 108/140 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 108/140.
Prime factors of 108 = 2 x 2 x 3 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 108/140.
Prime factors of 140 = 2 x 2 x 5 x 7

step 4 Rewrite the fraction 108/140 in the form of prime factors as like the below:
108/140= (2 x 2 x 3 x 3 x 3) / (2 x 2 x 5 x 7)

step 5 Check and reduce the factors of 108 and 140 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 3 x 3) / (2 x 2 x 5 x 7)
= ( 3 x 3 x 3)/( 5 x 7)
108/140 = 27/35
Hence,
108/140 in simplest form is 27/35.

108/140 simplified is 27/35, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 108/140 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 108/140 in its lowest terms.