What is 525/475 simplified as a fraction?
525/475 in simplest form is 21/19.
Learn how to find what is 525/475 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 525/475 in simplest form.
To reduce 525/475 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 525/475 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 525 and 475 is 25. Dividing both the numerator and denominator by GCF, the fraction 525/475 becomes 21/19 which is the simplest form.
525/475 Simplified as a Fraction
Using Factorization:
525/475 = (?)
525/475 = (3 x 5 x 5 x 7)/(5 x 5 x 19) write 525/475 in terms of factors
= 21/19
525/475 = 21/19
525/475 simplified is 21/19
Using GCF
525/475 = (?)
GCF of 525 and 475 is 25.
525/475 = (525/25)/(475/25)
= 21/19
525/475 = 21/19
525/475 simplified is 21/19 in fraction form
where,
525/475 is the given fraction to be simplified,
21/19 is the lowest term of 525/475.
Notes: 525/475 simplified in lowest terms
1. 525/475 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 525 and 475 is 25 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 525/475 can be represented in its reduced form.
2. On the other hand, you can also reduce 525/475 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 525/475 becomes (3 x 5 x 5 x 7)/(5 x 5 x 19). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 525/475 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 525/475
what to be found:
525/475 = ?
Reduce 525/475 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 525/475.
Prime factors of 525 = 3 x 5 x 5 x 7
step 3 Find the prime factors of the denominator of given fraction 525/475.
Prime factors of 475 = 5 x 5 x 19
step 4 Rewrite the fraction 525/475 in the form of prime factors as like the below:
525/475= (3 x 5 x 5 x 7) / (5 x 5 x 19)
step 5 Check and reduce the factors of 525 and 475 if any factors in the numerator and denominator cancel each other:
= (3 x 5 x 5 x 7) / (5 x 5 x 19)
= (3 x 7)/( 19)
525/475 = 21/19
Hence,
525/475 in simplest form is 21/19.
525/475 simplified is 21/19, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 525/475 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 525/475 in its lowest terms.