158/310 Simplified

Learn how to find what is 158/310 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 158/310 in simplest form.

To reduce 158/310 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 158/310 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 158 and 310 is 2. Dividing both the numerator and denominator by GCF, the fraction 158/310 becomes 79/155 which is the simplest form.

158/310 Simplified as a Fraction
Using Factorization:
158/310 = (?)
158/310 = (2 x 79)/(2 x 5 x 31)      write 158/310 in terms of factors
= 79/155
158/310 = 79/155
158/310 simplified is 79/155

Using GCF
158/310 = (?)
GCF of 158 and 310 is 2.
158/310 = (158/2)/(310/2)
= 79/155
158/310 = 79/155
158/310 simplified is 79/155 in fraction form
where,
158/310 is the given fraction to be simplified,
79/155 is the lowest term of 158/310.

Notes: 158/310 simplified in lowest terms
1. 158/310 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 158 and 310 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 158/310 can be represented in its reduced form.
2. On the other hand, you can also reduce 158/310 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 158/310 becomes (2 x 79)/(2 x 5 x 31). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 158/310 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 158/310

what to be found:
158/310 = ?
Reduce 158/310 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 158/310.
Prime factors of 158 = 2 x 79

step 3 Find the prime factors of the denominator of given fraction 158/310.
Prime factors of 310 = 2 x 5 x 31

step 4 Rewrite the fraction 158/310 in the form of prime factors as like the below:
158/310= (2 x 79) / (2 x 5 x 31)

step 5 Check and reduce the factors of 158 and 310 if any factors in the numerator and denominator cancel each other:
= (2 x 79) / (2 x 5 x 31)
= ( 79)/( 5 x 31)
158/310 = 79/155
Hence,
158/310 in simplest form is 79/155.

158/310 simplified is 79/155, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 158/310 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 158/310 in its lowest terms.