What is 168/370 simplified as a fraction?
168/370 in simplest form is 84/185.
Learn how to find what is 168/370 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 168/370 in simplest form.
To reduce 168/370 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 168/370 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 168 and 370 is 2. Dividing both the numerator and denominator by GCF, the fraction 168/370 becomes 84/185 which is the simplest form.
168/370 Simplified as a Fraction
Using Factorization:
168/370 = (?)
168/370 = (2 x 2 x 2 x 3 x 7)/(2 x 5 x 37) write 168/370 in terms of factors
= 84/185
168/370 = 84/185
168/370 simplified is 84/185
Using GCF
168/370 = (?)
GCF of 168 and 370 is 2.
168/370 = (168/2)/(370/2)
= 84/185
168/370 = 84/185
168/370 simplified is 84/185 in fraction form
where,
168/370 is the given fraction to be simplified,
84/185 is the lowest term of 168/370.
Notes: 168/370 simplified in lowest terms
1. 168/370 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 168 and 370 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 168/370 can be represented in its reduced form.
2. On the other hand, you can also reduce 168/370 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 168/370 becomes (2 x 2 x 2 x 3 x 7)/(2 x 5 x 37). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 168/370 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 168/370
what to be found:
168/370 = ?
Reduce 168/370 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 168/370.
Prime factors of 168 = 2 x 2 x 2 x 3 x 7
step 3 Find the prime factors of the denominator of given fraction 168/370.
Prime factors of 370 = 2 x 5 x 37
step 4 Rewrite the fraction 168/370 in the form of prime factors as like the below:
168/370= (2 x 2 x 2 x 3 x 7) / (2 x 5 x 37)
step 5 Check and reduce the factors of 168 and 370 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 7) / (2 x 5 x 37)
= ( 2 x 2 x 3 x 7)/( 5 x 37)
168/370 = 84/185
Hence,
168/370 in simplest form is 84/185.
168/370 simplified is 84/185, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 168/370 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 168/370 in its lowest terms.