What is 528/600 simplified as a fraction?
528/600 in simplest form is 22/25.
Learn how to find what is 528/600 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 528/600 in simplest form.
To reduce 528/600 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 528/600 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 528 and 600 is 24. Dividing both the numerator and denominator by GCF, the fraction 528/600 becomes 22/25 which is the simplest form.
528/600 Simplified as a Fraction
Using Factorization:
528/600 = (?)
528/600 = (2 x 2 x 2 x 2 x 3 x 11)/(2 x 2 x 2 x 3 x 5 x 5) write 528/600 in terms of factors
= 22/25
528/600 = 22/25
528/600 simplified is 22/25
Using GCF
528/600 = (?)
GCF of 528 and 600 is 24.
528/600 = (528/24)/(600/24)
= 22/25
528/600 = 22/25
528/600 simplified is 22/25 in fraction form
where,
528/600 is the given fraction to be simplified,
22/25 is the lowest term of 528/600.
Notes: 528/600 simplified in lowest terms
1. 528/600 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 528 and 600 is 24 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 528/600 can be represented in its reduced form.
2. On the other hand, you can also reduce 528/600 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 528/600 becomes (2 x 2 x 2 x 2 x 3 x 11)/(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 528/600 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 528/600
what to be found:
528/600 = ?
Reduce 528/600 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 528/600.
Prime factors of 528 = 2 x 2 x 2 x 2 x 3 x 11
step 3 Find the prime factors of the denominator of given fraction 528/600.
Prime factors of 600 = 2 x 2 x 2 x 3 x 5 x 5
step 4 Rewrite the fraction 528/600 in the form of prime factors as like the below:
528/600= (2 x 2 x 2 x 2 x 3 x 11) / (2 x 2 x 2 x 3 x 5 x 5)
step 5 Check and reduce the factors of 528 and 600 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 3 x 11) / (2 x 2 x 2 x 3 x 5 x 5)
= ( 2 x 11)/( 5 x 5)
528/600 = 22/25
Hence,
528/600 in simplest form is 22/25.
528/600 simplified is 22/25, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 528/600 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 528/600 in its lowest terms.