790/920 Simplified

Learn how to find what is 790/920 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 790/920 in simplest form.

To reduce 790/920 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 790/920 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 790 and 920 is 10. Dividing both the numerator and denominator by GCF, the fraction 790/920 becomes 79/92 which is the simplest form.

790/920 Simplified as a Fraction
Using Factorization:
790/920 = (?)
790/920 = (2 x 5 x 79)/(2 x 2 x 2 x 5 x 23)      write 790/920 in terms of factors
= 79/92
790/920 = 79/92
790/920 simplified is 79/92

Using GCF
790/920 = (?)
GCF of 790 and 920 is 10.
790/920 = (790/10)/(920/10)
= 79/92
790/920 = 79/92
790/920 simplified is 79/92 in fraction form
where,
790/920 is the given fraction to be simplified,
79/92 is the lowest term of 790/920.

Notes: 790/920 simplified in lowest terms
1. 790/920 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 790 and 920 is 10 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 790/920 can be represented in its reduced form.
2. On the other hand, you can also reduce 790/920 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 790/920 becomes (2 x 5 x 79)/(2 x 2 x 2 x 5 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 790/920 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 790/920

what to be found:
790/920 = ?
Reduce 790/920 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 790/920.
Prime factors of 790 = 2 x 5 x 79

step 3 Find the prime factors of the denominator of given fraction 790/920.
Prime factors of 920 = 2 x 2 x 2 x 5 x 23

step 4 Rewrite the fraction 790/920 in the form of prime factors as like the below:
790/920= (2 x 5 x 79) / (2 x 2 x 2 x 5 x 23)

step 5 Check and reduce the factors of 790 and 920 if any factors in the numerator and denominator cancel each other:
= (2 x 5 x 79) / (2 x 2 x 2 x 5 x 23)
= ( 79)/( 2 x 2 x 23)
790/920 = 79/92
Hence,
790/920 in simplest form is 79/92.

790/920 simplified is 79/92, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 790/920 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 790/920 in its lowest terms.