370/140 Simplified

Learn how to find what is 370/140 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 370/140 in simplest form.

To reduce 370/140 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 370/140 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 370 and 140 is 10. Dividing both the numerator and denominator by GCF, the fraction 370/140 becomes 37/14 which is the simplest form.

370/140 Simplified as a Fraction
Using Factorization:
370/140 = (?)
370/140 = (2 x 5 x 37)/(2 x 2 x 5 x 7)      write 370/140 in terms of factors
= 37/14
370/140 = 37/14
370/140 simplified is 37/14

Using GCF
370/140 = (?)
GCF of 370 and 140 is 10.
370/140 = (370/10)/(140/10)
= 37/14
370/140 = 37/14
370/140 simplified is 37/14 in fraction form
where,
370/140 is the given fraction to be simplified,
37/14 is the lowest term of 370/140.

Notes: 370/140 simplified in lowest terms
1. 370/140 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 370 and 140 is 10 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 370/140 can be represented in its reduced form.
2. On the other hand, you can also reduce 370/140 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 370/140 becomes (2 x 5 x 37)/(2 x 2 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 370/140 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 370/140

what to be found:
370/140 = ?
Reduce 370/140 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 370/140.
Prime factors of 370 = 2 x 5 x 37

step 3 Find the prime factors of the denominator of given fraction 370/140.
Prime factors of 140 = 2 x 2 x 5 x 7

step 4 Rewrite the fraction 370/140 in the form of prime factors as like the below:
370/140= (2 x 5 x 37) / (2 x 2 x 5 x 7)

step 5 Check and reduce the factors of 370 and 140 if any factors in the numerator and denominator cancel each other:
= (2 x 5 x 37) / (2 x 2 x 5 x 7)
= ( 37)/( 2 x 7)
370/140 = 37/14
Hence,
370/140 in simplest form is 37/14.

370/140 simplified is 37/14, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 370/140 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 370/140 in its lowest terms.