425/975 Simplified

Learn how to find what is 425/975 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 425/975 in simplest form.

To simplify 425/975 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 425/975 can be reduced in simplest form. In this case, the greatest common divisor of 425 and 975 is 25. Dividing both the numerator and denominator by GCD, the fraction 425/975 becomes 17/39 which is the simplest form.

Simplify 425/975 as a Fraction
Using Factorization:
425/975 = (?)
425/975 = (5 x 5 x 17)/(3 x 5 x 5 x 13)      //write 425/975 in terms of factors
= 17/39
425/975 = 17/39
425/975 simplified is 17/39

Using GCD:
425/975 = (?)
GCD of 425 and 975 is 25.
425/975 = (425/25)/(975/25)
= 17/39
425/975 = 17/39
425/975 simplified is 17/39 in fraction form
where,
425/975 is the given fraction to be simplified,
17/39 is the lowest term of 425/975.

Notes: Simplify 425/975 in lowest terms
1. 425/975 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 425 and 975 is 25 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 425/975 can be represented in its reduced form.
2. On the other hand, you can also reduce 425/975 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 425/975 becomes (5 x 5 x 17)/(3 x 5 x 5 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 425/975 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 425/975

what to be found:
425/975 = ?
Simplify 425/975 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 425/975.
Prime factors of 425 = 5 x 5 x 17

step 3 Find the prime factors of the denominator of given fraction 425/975.
Prime factors of 975 = 3 x 5 x 5 x 13

step 4 Rewrite the fraction 425/975 in the form of prime factors as like the below:
425/975= (5 x 5 x 17) / (3 x 5 x 5 x 13)

step 5 Check and reduce the factors of 425 and 975 if any factors in the numerator and denominator cancel each other:
= (5 x 5 x 17) / (3 x 5 x 5 x 13)
= ( 17)/(3 x 13)
425/975 = 17/39

Hence,
425/975 in simplest form is 17/39.

Representing fraction 425/975 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 425/975 in its lowest terms.