What is 10/14 simplified as a fraction?

10/14 in simplest form is 5/7.

Learn how to find what is 10/14 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 10/14 in simplest form.

To reduce 10/14 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 10/14 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 10 and 14 is 2. Dividing both the numerator and denominator by GCF, the fraction 10/14 becomes 5/7 which is the simplest form.

__10/14 Simplified as a Fraction__

Using Factorization:

10/14 = (?)

10/14 = (2 x 5)/(2 x 7) write 10/14 in terms of factors

= 5/7

10/14 = 5/7**10/14 simplified is 5/7**

Using GCF

10/14 = (?)

GCF of 10 and 14 is 2.

10/14 = (10/2)/(14/2)

= 5/7

10/14 = 5/7

10/14 simplified is 5/7 in fraction form__where,__

10/14 is the given fraction to be simplified,*5/7* is the lowest term of 10/14.

__Notes: 10/14 simplified in lowest terms__

1. 10/14 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 10 and 14 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 10/14 can be represented in its reduced form.

2. On the other hand, you can also reduce 10/14 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 10/14 becomes (2 x 5)/(2 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 10/14 in its lowest terms.

step 1 Observe the input parameters and what to be found:

__Input values:__

Fraction = 10/14

__what to be found__:

10/14 = ?

Reduce 10/14 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 10/14.*Prime factors of 10* = 2 x 5

step 3 Find the prime factors of the denominator of given fraction 10/14.*Prime factors of 14* = 2 x 7

step 4 Rewrite the fraction 10/14 in the form of prime factors as like the below:

10/14= (2 x 5) / (2 x 7)

step 5 Check and reduce the factors of 10 and 14 if any factors in the numerator and denominator cancel each other:

= (2 x 5) / (2 x 7)

= ( 5)/( 7)

10/14 = 5/7

Hence,

10/14 in simplest form is 5/7.

10/14 simplified is 5/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 10/14 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 10/14 in its lowest terms.