What is 527/374 simplified as a fraction?
527/374 in simplest form is 31/22.
Learn how to find what is 527/374 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 527/374 in simplest form.
To reduce 527/374 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 527/374 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 527 and 374 is 17. Dividing both the numerator and denominator by GCF, the fraction 527/374 becomes 31/22 which is the simplest form.
527/374 Simplified as a Fraction
Using Factorization:
527/374 = (?)
527/374 = (17 x 31)/(2 x 11 x 17) write 527/374 in terms of factors
= 31/22
527/374 = 31/22
527/374 simplified is 31/22
Using GCF
527/374 = (?)
GCF of 527 and 374 is 17.
527/374 = (527/17)/(374/17)
= 31/22
527/374 = 31/22
527/374 simplified is 31/22 in fraction form
where,
527/374 is the given fraction to be simplified,
31/22 is the lowest term of 527/374.
Notes: 527/374 simplified in lowest terms
1. 527/374 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 527 and 374 is 17 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 527/374 can be represented in its reduced form.
2. On the other hand, you can also reduce 527/374 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 527/374 becomes (17 x 31)/(2 x 11 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 527/374 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 527/374
what to be found:
527/374 = ?
Reduce 527/374 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 527/374.
Prime factors of 527 = 17 x 31
step 3 Find the prime factors of the denominator of given fraction 527/374.
Prime factors of 374 = 2 x 11 x 17
step 4 Rewrite the fraction 527/374 in the form of prime factors as like the below:
527/374= (17 x 31) / (2 x 11 x 17)
step 5 Check and reduce the factors of 527 and 374 if any factors in the numerator and denominator cancel each other:
= (17 x 31) / (2 x 11 x 17)
= ( 31)/(2 x 11 )
527/374 = 31/22
Hence,
527/374 in simplest form is 31/22.
527/374 simplified is 31/22, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 527/374 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 527/374 in its lowest terms.