75/3 Simplified

Learn how to find what is 75/3 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 75/3 in simplest form.

To reduce 75/3 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 75/3 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 75 and 3 is 3. Dividing both the numerator and denominator by GCF, the fraction 75/3 becomes 25/1 which is the simplest form.

75/3 Simplified as a Fraction
Using Factorization:
75/3 = (?)
75/3 = (3 x 5 x 5)/(3)      write 75/3 in terms of factors
= 25/1
75/3 = 25/1
75/3 simplified is 25/1

Using GCF
75/3 = (?)
GCF of 75 and 3 is 3.
75/3 = (75/3)/(3/3)
= 25/1
75/3 = 25/1
75/3 simplified is 25/1 in fraction form
where,
75/3 is the given fraction to be simplified,
25/1 is the lowest term of 75/3.

Notes: 75/3 simplified in lowest terms
1. 75/3 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 75 and 3 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 75/3 can be represented in its reduced form.
2. On the other hand, you can also reduce 75/3 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 75/3 becomes (3 x 5 x 5)/(3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 75/3 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 75/3

what to be found:
75/3 = ?
Reduce 75/3 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 75/3.
Prime factors of 75 = 3 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 75/3.
Prime factors of 3 = 3

step 4 Rewrite the fraction 75/3 in the form of prime factors as like the below:
75/3= (3 x 5 x 5) / (3)

step 5 Check and reduce the factors of 75 and 3 if any factors in the numerator and denominator cancel each other:
= (3 x 5 x 5) / (3)
= ( 5 x 5)/(1)
75/3 = 25/1
Hence,
75/3 in simplest form is 25/1.

75/3 simplified is 25/1, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 75/3 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 75/3 in its lowest terms.