160/980 Simplified

Learn how to find what is 160/980 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 160/980 in simplest form.

To reduce 160/980 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 160/980 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 160 and 980 is 20. Dividing both the numerator and denominator by GCF, the fraction 160/980 becomes 8/49 which is the simplest form.

160/980 Simplified as a Fraction
Using Factorization:
160/980 = (?)
160/980 = (2 x 2 x 2 x 2 x 2 x 5)/(2 x 2 x 5 x 7 x 7)      write 160/980 in terms of factors
= 8/49
160/980 = 8/49
160/980 simplified is 8/49

Using GCF
160/980 = (?)
GCF of 160 and 980 is 20.
160/980 = (160/20)/(980/20)
= 8/49
160/980 = 8/49
160/980 simplified is 8/49 in fraction form
where,
160/980 is the given fraction to be simplified,
8/49 is the lowest term of 160/980.

Notes: 160/980 simplified in lowest terms
1. 160/980 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 160 and 980 is 20 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 160/980 can be represented in its reduced form.
2. On the other hand, you can also reduce 160/980 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 160/980 becomes (2 x 2 x 2 x 2 x 2 x 5)/(2 x 2 x 5 x 7 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 160/980 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 160/980

what to be found:
160/980 = ?
Reduce 160/980 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 160/980.
Prime factors of 160 = 2 x 2 x 2 x 2 x 2 x 5

step 3 Find the prime factors of the denominator of given fraction 160/980.
Prime factors of 980 = 2 x 2 x 5 x 7 x 7

step 4 Rewrite the fraction 160/980 in the form of prime factors as like the below:
160/980= (2 x 2 x 2 x 2 x 2 x 5) / (2 x 2 x 5 x 7 x 7)

step 5 Check and reduce the factors of 160 and 980 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 2 x 5) / (2 x 2 x 5 x 7 x 7)
= ( 2 x 2 x 2 )/( 7 x 7)
160/980 = 8/49
Hence,
160/980 in simplest form is 8/49.

160/980 simplified is 8/49, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 160/980 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 160/980 in its lowest terms.