What is 170/155 simplified as a fraction?
170/155 in simplest form is 34/31.
Learn how to find what is 170/155 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 170/155 in simplest form.
To reduce 170/155 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 170/155 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 170 and 155 is 5. Dividing both the numerator and denominator by GCF, the fraction 170/155 becomes 34/31 which is the simplest form.
170/155 Simplified as a Fraction
Using Factorization:
170/155 = (?)
170/155 = (2 x 5 x 17)/(5 x 31) write 170/155 in terms of factors
= 34/31
170/155 = 34/31
170/155 simplified is 34/31
Using GCF
170/155 = (?)
GCF of 170 and 155 is 5.
170/155 = (170/5)/(155/5)
= 34/31
170/155 = 34/31
170/155 simplified is 34/31 in fraction form
where,
170/155 is the given fraction to be simplified,
34/31 is the lowest term of 170/155.
Notes: 170/155 simplified in lowest terms
1. 170/155 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 170 and 155 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 170/155 can be represented in its reduced form.
2. On the other hand, you can also reduce 170/155 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 170/155 becomes (2 x 5 x 17)/(5 x 31). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 170/155 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 170/155
what to be found:
170/155 = ?
Reduce 170/155 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 170/155.
Prime factors of 170 = 2 x 5 x 17
step 3 Find the prime factors of the denominator of given fraction 170/155.
Prime factors of 155 = 5 x 31
step 4 Rewrite the fraction 170/155 in the form of prime factors as like the below:
170/155= (2 x 5 x 17) / (5 x 31)
step 5 Check and reduce the factors of 170 and 155 if any factors in the numerator and denominator cancel each other:
= (2 x 5 x 17) / (5 x 31)
= (2 x 17)/( 31)
170/155 = 34/31
Hence,
170/155 in simplest form is 34/31.
170/155 simplified is 34/31, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 170/155 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 170/155 in its lowest terms.