24/780 Simplified

Learn how to find what is 24/780 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 24/780 in simplest form.

To reduce 24/780 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 24/780 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 24 and 780 is 12. Dividing both the numerator and denominator by GCF, the fraction 24/780 becomes 2/65 which is the simplest form.

24/780 Simplified as a Fraction
Using Factorization:
24/780 = (?)
24/780 = (2 x 2 x 2 x 3)/(2 x 2 x 3 x 5 x 13)      write 24/780 in terms of factors
= 2/65
24/780 = 2/65
24/780 simplified is 2/65

Using GCF
24/780 = (?)
GCF of 24 and 780 is 12.
24/780 = (24/12)/(780/12)
= 2/65
24/780 = 2/65
24/780 simplified is 2/65 in fraction form
where,
24/780 is the given fraction to be simplified,
2/65 is the lowest term of 24/780.

Notes: 24/780 simplified in lowest terms
1. 24/780 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 24 and 780 is 12 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 24/780 can be represented in its reduced form.
2. On the other hand, you can also reduce 24/780 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 24/780 becomes (2 x 2 x 2 x 3)/(2 x 2 x 3 x 5 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 24/780 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 24/780

what to be found:
24/780 = ?
Reduce 24/780 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 24/780.
Prime factors of 24 = 2 x 2 x 2 x 3

step 3 Find the prime factors of the denominator of given fraction 24/780.
Prime factors of 780 = 2 x 2 x 3 x 5 x 13

step 4 Rewrite the fraction 24/780 in the form of prime factors as like the below:
24/780= (2 x 2 x 2 x 3) / (2 x 2 x 3 x 5 x 13)

step 5 Check and reduce the factors of 24 and 780 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3) / (2 x 2 x 3 x 5 x 13)
= ( 2 )/( 5 x 13)
24/780 = 2/65
Hence,
24/780 in simplest form is 2/65.

24/780 simplified is 2/65, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 24/780 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 24/780 in its lowest terms.