What is 4/12 simplified as a fraction?
4/12 in simplest form is 1/3.
Learn how to find what is 4/12 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 4/12 in simplest form.
To reduce 4/12 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 4/12 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 4 and 12 is 4. Dividing both the numerator and denominator by GCF, the fraction 4/12 becomes 1/3 which is the simplest form.
4/12 Simplified as a Fraction
Using Factorization:
4/12 = (?)
4/12 = (2 x 2)/(2 x 2 x 3) write 4/12 in terms of factors
= 1/3
4/12 = 1/3
4/12 simplified is 1/3
Using GCF
4/12 = (?)
GCF of 4 and 12 is 4.
4/12 = (4/4)/(12/4)
= 1/3
4/12 = 1/3
4/12 simplified is 1/3 in fraction form
where,
4/12 is the given fraction to be simplified,
1/3 is the lowest term of 4/12.
Notes: 4/12 simplified in lowest terms
1. 4/12 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 4 and 12 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 4/12 can be represented in its reduced form.
2. On the other hand, you can also reduce 4/12 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 4/12 becomes (2 x 2)/(2 x 2 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 4/12 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 4/12
what to be found:
4/12 = ?
Reduce 4/12 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 4/12.
Prime factors of 4 = 2 x 2
step 3 Find the prime factors of the denominator of given fraction 4/12.
Prime factors of 12 = 2 x 2 x 3
step 4 Rewrite the fraction 4/12 in the form of prime factors as like the below:
4/12= (2 x 2) / (2 x 2 x 3)
step 5 Check and reduce the factors of 4 and 12 if any factors in the numerator and denominator cancel each other:
= (2 x 2) / (2 x 2 x 3)
= (1)/( 3)
4/12 = 1/3
Hence,
4/12 in simplest form is 1/3.
4/12 simplified is 1/3, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 4/12 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 4/12 in its lowest terms.