7/20 Simplified

Learn how to find what is 7/20 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 7/20 in simplest form.

To reduce 7/20 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 7/20 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 7 and 20 is 1. Dividing both the numerator and denominator by GCF, the fraction 7/20 becomes 7/20 which is the simplest form.

7/20 Simplified as a Fraction
Using Factorization:
7/20 = (?)
7/20 = (7)/(2 x 2 x 5)      write 7/20 in terms of factors
= 7/20
7/20 = 7/20
7/20 simplified is 7/20

Using GCF
7/20 = (?)
GCF of 7 and 20 is 1.
7/20 = (7/1)/(20/1)
= 7/20
7/20 = 7/20
7/20 simplified is 7/20 in fraction form

Notes: 7/20 simplified in lowest terms
1. 7/20 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 7 and 20 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 7/20 can be represented in its reduced form.
2. On the other hand, you can also reduce 7/20 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 7/20 becomes (7)/(2 x 2 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 7/20 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 7/20

what to be found:
7/20 = ?
Reduce 7/20 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 7/20.
Prime factors of 7 = 7

step 3 Find the prime factors of the denominator of given fraction 7/20.
Prime factors of 20 = 2 x 2 x 5

step 4 Rewrite the fraction 7/20 in the form of prime factors as like the below:
7/20= (7) / (2 x 2 x 5)

step 5 The given fraction 7/20 can't be simplified further, because the numerator 7 of the given fraction is a prime number and not the factor of denominator 20.
Hence,
7/20 simplest form is 7/20.
7/20 simplified is 7/20, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 7/20 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 7/20 in its lowest terms.