275/390 Simplified

Learn how to find what is 275/390 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 275/390 in simplest form.

To reduce 275/390 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 275/390 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 275 and 390 is 5. Dividing both the numerator and denominator by GCF, the fraction 275/390 becomes 55/78 which is the simplest form.

275/390 Simplified as a Fraction
Using Factorization:
275/390 = (?)
275/390 = (5 x 5 x 11)/(2 x 3 x 5 x 13)      write 275/390 in terms of factors
= 55/78
275/390 = 55/78
275/390 simplified is 55/78

Using GCF
275/390 = (?)
GCF of 275 and 390 is 5.
275/390 = (275/5)/(390/5)
= 55/78
275/390 = 55/78
275/390 simplified is 55/78 in fraction form
where,
275/390 is the given fraction to be simplified,
55/78 is the lowest term of 275/390.

Notes: 275/390 simplified in lowest terms
1. 275/390 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 275 and 390 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 275/390 can be represented in its reduced form.
2. On the other hand, you can also reduce 275/390 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 275/390 becomes (5 x 5 x 11)/(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 275/390 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 275/390

what to be found:
275/390 = ?
Reduce 275/390 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 275/390.
Prime factors of 275 = 5 x 5 x 11

step 3 Find the prime factors of the denominator of given fraction 275/390.
Prime factors of 390 = 2 x 3 x 5 x 13

step 4 Rewrite the fraction 275/390 in the form of prime factors as like the below:
275/390= (5 x 5 x 11) / (2 x 3 x 5 x 13)

step 5 Check and reduce the factors of 275 and 390 if any factors in the numerator and denominator cancel each other:
= (5 x 5 x 11) / (2 x 3 x 5 x 13)
= ( 5 x 11)/(2 x 3 x 13)
275/390 = 55/78
Hence,
275/390 in simplest form is 55/78.

275/390 simplified is 55/78, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 275/390 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 275/390 in its lowest terms.