425/105 Simplified

Learn how to find what is 425/105 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 425/105 in simplest form.

To reduce 425/105 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 425/105 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 425 and 105 is 5. Dividing both the numerator and denominator by GCF, the fraction 425/105 becomes 85/21 which is the simplest form.

425/105 Simplified as a Fraction
Using Factorization:
425/105 = (?)
425/105 = (5 x 5 x 17)/(3 x 5 x 7)      write 425/105 in terms of factors
= 85/21
425/105 = 85/21
425/105 simplified is 85/21

Using GCF
425/105 = (?)
GCF of 425 and 105 is 5.
425/105 = (425/5)/(105/5)
= 85/21
425/105 = 85/21
425/105 simplified is 85/21 in fraction form
where,
425/105 is the given fraction to be simplified,
85/21 is the lowest term of 425/105.

Notes: 425/105 simplified in lowest terms
1. 425/105 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 425 and 105 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 425/105 can be represented in its reduced form.
2. On the other hand, you can also reduce 425/105 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 425/105 becomes (5 x 5 x 17)/(3 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 425/105 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 425/105

what to be found:
425/105 = ?
Reduce 425/105 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 425/105.
Prime factors of 425 = 5 x 5 x 17

step 3 Find the prime factors of the denominator of given fraction 425/105.
Prime factors of 105 = 3 x 5 x 7

step 4 Rewrite the fraction 425/105 in the form of prime factors as like the below:
425/105= (5 x 5 x 17) / (3 x 5 x 7)

step 5 Check and reduce the factors of 425 and 105 if any factors in the numerator and denominator cancel each other:
= (5 x 5 x 17) / (3 x 5 x 7)
= ( 5 x 17)/(3 x 7)
425/105 = 85/21
Hence,
425/105 in simplest form is 85/21.

425/105 simplified is 85/21, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 425/105 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 425/105 in its lowest terms.