15/7 Simplified

Learn how to find what is 15/7 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 15/7 in simplest form.

To reduce 15/7 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 15/7 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 15 and 7 is 1. Dividing both the numerator and denominator by GCF, the fraction 15/7 becomes 15/7 which is the simplest form.

15/7 Simplified as a Fraction
Using Factorization:
15/7 = (?)
15/7 = (3 x 5)/(7)      write 15/7 in terms of factors
= 15/7
15/7 = 15/7
15/7 simplified is 15/7

Using GCF
15/7 = (?)
GCF of 15 and 7 is 1.
15/7 = (15/1)/(7/1)
= 15/7
15/7 = 15/7
15/7 simplified is 15/7 in fraction form

Notes: 15/7 simplified in lowest terms
1. 15/7 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 15 and 7 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 15/7 can be represented in its reduced form.
2. On the other hand, you can also reduce 15/7 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 15/7 becomes (3 x 5)/(7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 15/7 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 15/7

what to be found:
15/7 = ?
Reduce 15/7 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 15/7.
Prime factors of 15 = 3 x 5

step 3 Find the prime factors of the denominator of given fraction 15/7.
Prime factors of 7 = 7

step 4 Rewrite the fraction 15/7 in the form of prime factors as like the below:
15/7= (3 x 5) / (7)

step 5 The given fraction 15/7 can't be simplified further, because the denominator 7 of the given fraction is a prime number and not the factor of numerator 15.
Hence,
15/7 simplest form is 15/7.
15/7 simplified is 15/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 15/7 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 15/7 in its lowest terms.