7/16 Simplified

Learn how to find what is 7/16 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 7/16 in simplest form.

To reduce 7/16 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 7/16 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 7 and 16 is 1. Dividing both the numerator and denominator by GCF, the fraction 7/16 becomes 7/16 which is the simplest form.

7/16 Simplified as a Fraction
Using Factorization:
7/16 = (?)
7/16 = (7)/(2 x 2 x 2 x 2)      write 7/16 in terms of factors
= 7/16
7/16 = 7/16
7/16 simplified is 7/16

Using GCF
7/16 = (?)
GCF of 7 and 16 is 1.
7/16 = (7/1)/(16/1)
= 7/16
7/16 = 7/16
7/16 simplified is 7/16 in fraction form

Notes: 7/16 simplified in lowest terms
1. 7/16 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 7 and 16 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 7/16 can be represented in its reduced form.
2. On the other hand, you can also reduce 7/16 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 7/16 becomes (7)/(2 x 2 x 2 x 2). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 7/16 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 7/16

what to be found:
7/16 = ?
Reduce 7/16 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 7/16.
Prime factors of 7 = 7

step 3 Find the prime factors of the denominator of given fraction 7/16.
Prime factors of 16 = 2 x 2 x 2 x 2

step 4 Rewrite the fraction 7/16 in the form of prime factors as like the below:
7/16= (7) / (2 x 2 x 2 x 2)

step 5 The given fraction 7/16 can't be simplified further, because the numerator 7 of the given fraction is a prime number and not the factor of denominator 16.
Hence,
7/16 simplest form is 7/16.
7/16 simplified is 7/16, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 7/16 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 7/16 in its lowest terms.