760/60 Simplified

Learn how to find what is 760/60 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 760/60 in simplest form.

To reduce 760/60 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 760/60 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 760 and 60 is 20. Dividing both the numerator and denominator by GCF, the fraction 760/60 becomes 38/3 which is the simplest form.

760/60 Simplified as a Fraction
Using Factorization:
760/60 = (?)
760/60 = (2 x 2 x 2 x 5 x 19)/(2 x 2 x 3 x 5)      write 760/60 in terms of factors
= 38/3
760/60 = 38/3
760/60 simplified is 38/3

Using GCF
760/60 = (?)
GCF of 760 and 60 is 20.
760/60 = (760/20)/(60/20)
= 38/3
760/60 = 38/3
760/60 simplified is 38/3 in fraction form
where,
760/60 is the given fraction to be simplified,
38/3 is the lowest term of 760/60.

Notes: 760/60 simplified in lowest terms
1. 760/60 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 760 and 60 is 20 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 760/60 can be represented in its reduced form.
2. On the other hand, you can also reduce 760/60 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 760/60 becomes (2 x 2 x 2 x 5 x 19)/(2 x 2 x 3 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 760/60 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 760/60

what to be found:
760/60 = ?
Reduce 760/60 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 760/60.
Prime factors of 760 = 2 x 2 x 2 x 5 x 19

step 3 Find the prime factors of the denominator of given fraction 760/60.
Prime factors of 60 = 2 x 2 x 3 x 5

step 4 Rewrite the fraction 760/60 in the form of prime factors as like the below:
760/60= (2 x 2 x 2 x 5 x 19) / (2 x 2 x 3 x 5)

step 5 Check and reduce the factors of 760 and 60 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 5 x 19) / (2 x 2 x 3 x 5)
= ( 2 x 19)/( 3 )
760/60 = 38/3
Hence,
760/60 in simplest form is 38/3.

760/60 simplified is 38/3, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 760/60 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 760/60 in its lowest terms.