120/160 Simplified

Learn how to find what is 120/160 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 120/160 in simplest form.

To reduce 120/160 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 120/160 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 120 and 160 is 40. Dividing both the numerator and denominator by GCF, the fraction 120/160 becomes 3/4 which is the simplest form.

120/160 Simplified as a Fraction
Using Factorization:
120/160 = (?)
120/160 = (2 x 2 x 2 x 3 x 5)/(2 x 2 x 2 x 2 x 2 x 5)      write 120/160 in terms of factors
= 3/4
120/160 = 3/4
120/160 simplified is 3/4

Using GCF
120/160 = (?)
GCF of 120 and 160 is 40.
120/160 = (120/40)/(160/40)
= 3/4
120/160 = 3/4
120/160 simplified is 3/4 in fraction form
where,
120/160 is the given fraction to be simplified,
3/4 is the lowest term of 120/160.

Notes: 120/160 simplified in lowest terms
1. 120/160 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 120 and 160 is 40 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 120/160 can be represented in its reduced form.
2. On the other hand, you can also reduce 120/160 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 120/160 becomes (2 x 2 x 2 x 3 x 5)/(2 x 2 x 2 x 2 x 2 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 120/160 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 120/160

what to be found:
120/160 = ?
Reduce 120/160 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 120/160.
Prime factors of 120 = 2 x 2 x 2 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 120/160.
Prime factors of 160 = 2 x 2 x 2 x 2 x 2 x 5

step 4 Rewrite the fraction 120/160 in the form of prime factors as like the below:
120/160= (2 x 2 x 2 x 3 x 5) / (2 x 2 x 2 x 2 x 2 x 5)

step 5 Check and reduce the factors of 120 and 160 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 5) / (2 x 2 x 2 x 2 x 2 x 5)
= ( 3 )/( 2 x 2 )
120/160 = 3/4
Hence,
120/160 in simplest form is 3/4.

120/160 simplified is 3/4, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 120/160 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 120/160 in its lowest terms.