What is 2/14 simplified as a fraction?
2/14 in simplest form is 1/7.
Learn how to find what is 2/14 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 2/14 in simplest form.
To reduce 2/14 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 2/14 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 2 and 14 is 2. Dividing both the numerator and denominator by GCF, the fraction 2/14 becomes 1/7 which is the simplest form.
2/14 Simplified as a Fraction
Using Factorization:
2/14 = (?)
2/14 = (2)/(2 x 7) write 2/14 in terms of factors
= 1/7
2/14 = 1/7
2/14 simplified is 1/7
Using GCF
2/14 = (?)
GCF of 2 and 14 is 2.
2/14 = (2/2)/(14/2)
= 1/7
2/14 = 1/7
2/14 simplified is 1/7 in fraction form
where,
2/14 is the given fraction to be simplified,
1/7 is the lowest term of 2/14.
Notes: 2/14 simplified in lowest terms
1. 2/14 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 2 and 14 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 2/14 can be represented in its reduced form.
2. On the other hand, you can also reduce 2/14 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 2/14 becomes (2)/(2 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 2/14 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 2/14
what to be found:
2/14 = ?
Reduce 2/14 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 2/14.
Prime factors of 2 = 2
step 3 Find the prime factors of the denominator of given fraction 2/14.
Prime factors of 14 = 2 x 7
step 4 Rewrite the fraction 2/14 in the form of prime factors as like the below:
2/14= (2) / (2 x 7)
step 5 Check and reduce the factors of 2 and 14 if any factors in the numerator and denominator cancel each other:
= (2) / (2 x 7)
= (1)/( 7)
2/14 = 1/7
Hence,
2/14 in simplest form is 1/7.
2/14 simplified is 1/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 2/14 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 2/14 in its lowest terms.