What is 174/190 simplified as a fraction?
174/190 in simplest form is 87/95.
Learn how to find what is 174/190 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 174/190 in simplest form.
To reduce 174/190 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 174/190 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 174 and 190 is 2. Dividing both the numerator and denominator by GCF, the fraction 174/190 becomes 87/95 which is the simplest form.
174/190 Simplified as a Fraction
Using Factorization:
174/190 = (?)
174/190 = (2 x 3 x 29)/(2 x 5 x 19) write 174/190 in terms of factors
= 87/95
174/190 = 87/95
174/190 simplified is 87/95
Using GCF
174/190 = (?)
GCF of 174 and 190 is 2.
174/190 = (174/2)/(190/2)
= 87/95
174/190 = 87/95
174/190 simplified is 87/95 in fraction form
where,
174/190 is the given fraction to be simplified,
87/95 is the lowest term of 174/190.
Notes: 174/190 simplified in lowest terms
1. 174/190 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 174 and 190 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 174/190 can be represented in its reduced form.
2. On the other hand, you can also reduce 174/190 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 174/190 becomes (2 x 3 x 29)/(2 x 5 x 19). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 174/190 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 174/190
what to be found:
174/190 = ?
Reduce 174/190 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 174/190.
Prime factors of 174 = 2 x 3 x 29
step 3 Find the prime factors of the denominator of given fraction 174/190.
Prime factors of 190 = 2 x 5 x 19
step 4 Rewrite the fraction 174/190 in the form of prime factors as like the below:
174/190= (2 x 3 x 29) / (2 x 5 x 19)
step 5 Check and reduce the factors of 174 and 190 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 29) / (2 x 5 x 19)
= ( 3 x 29)/( 5 x 19)
174/190 = 87/95
Hence,
174/190 in simplest form is 87/95.
174/190 simplified is 87/95, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 174/190 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 174/190 in its lowest terms.