370/125 Simplified

Learn how to find what is 370/125 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 370/125 in simplest form.

To reduce 370/125 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 370/125 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 370 and 125 is 5. Dividing both the numerator and denominator by GCF, the fraction 370/125 becomes 74/25 which is the simplest form.

370/125 Simplified as a Fraction
Using Factorization:
370/125 = (?)
370/125 = (2 x 5 x 37)/(5 x 5 x 5)      write 370/125 in terms of factors
= 74/25
370/125 = 74/25
370/125 simplified is 74/25

Using GCF
370/125 = (?)
GCF of 370 and 125 is 5.
370/125 = (370/5)/(125/5)
= 74/25
370/125 = 74/25
370/125 simplified is 74/25 in fraction form
where,
370/125 is the given fraction to be simplified,
74/25 is the lowest term of 370/125.

Notes: 370/125 simplified in lowest terms
1. 370/125 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 370 and 125 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 370/125 can be represented in its reduced form.
2. On the other hand, you can also reduce 370/125 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 370/125 becomes (2 x 5 x 37)/(5 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 370/125 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 370/125

what to be found:
370/125 = ?
Reduce 370/125 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 370/125.
Prime factors of 370 = 2 x 5 x 37

step 3 Find the prime factors of the denominator of given fraction 370/125.
Prime factors of 125 = 5 x 5 x 5

step 4 Rewrite the fraction 370/125 in the form of prime factors as like the below:
370/125= (2 x 5 x 37) / (5 x 5 x 5)

step 5 Check and reduce the factors of 370 and 125 if any factors in the numerator and denominator cancel each other:
= (2 x 5 x 37) / (5 x 5 x 5)
= (2 x 37)/( 5 x 5)
370/125 = 74/25
Hence,
370/125 in simplest form is 74/25.

370/125 simplified is 74/25, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 370/125 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 370/125 in its lowest terms.