720/600 Simplified

Learn how to find what is 720/600 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 720/600 in simplest form.

To reduce 720/600 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 720/600 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 720 and 600 is 120. Dividing both the numerator and denominator by GCF, the fraction 720/600 becomes 6/5 which is the simplest form.

720/600 Simplified as a Fraction
Using Factorization:
720/600 = (?)
720/600 = (2 x 2 x 2 x 2 x 3 x 3 x 5)/(2 x 2 x 2 x 3 x 5 x 5)      write 720/600 in terms of factors
= 6/5
720/600 = 6/5
720/600 simplified is 6/5

Using GCF
720/600 = (?)
GCF of 720 and 600 is 120.
720/600 = (720/120)/(600/120)
= 6/5
720/600 = 6/5
720/600 simplified is 6/5 in fraction form
where,
720/600 is the given fraction to be simplified,
6/5 is the lowest term of 720/600.

Notes: 720/600 simplified in lowest terms
1. 720/600 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 720 and 600 is 120 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 720/600 can be represented in its reduced form.
2. On the other hand, you can also reduce 720/600 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 720/600 becomes (2 x 2 x 2 x 2 x 3 x 3 x 5)/(2 x 2 x 2 x 3 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 720/600 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 720/600

what to be found:
720/600 = ?
Reduce 720/600 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 720/600.
Prime factors of 720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 720/600.
Prime factors of 600 = 2 x 2 x 2 x 3 x 5 x 5

step 4 Rewrite the fraction 720/600 in the form of prime factors as like the below:
720/600= (2 x 2 x 2 x 2 x 3 x 3 x 5) / (2 x 2 x 2 x 3 x 5 x 5)

step 5 Check and reduce the factors of 720 and 600 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 3 x 3 x 5) / (2 x 2 x 2 x 3 x 5 x 5)
= ( 2 x 3 )/( 5)
720/600 = 6/5
Hence,
720/600 in simplest form is 6/5.

720/600 simplified is 6/5, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 720/600 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 720/600 in its lowest terms.