15/715 Simplified

Learn how to find what is 15/715 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 15/715 in simplest form.

To simplify 15/715 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 15/715 can be reduced in simplest form. In this case, the greatest common divisor of 15 and 715 is 5. Dividing both the numerator and denominator by GCD, the fraction 15/715 becomes 3/143 which is the simplest form.

Simplify 15/715 as a Fraction
Using Factorization:
15/715 = (?)
15/715 = (3 x 5)/(5 x 11 x 13)      //write 15/715 in terms of factors
= 3/143
15/715 = 3/143
15/715 simplified is 3/143

Using GCD:
15/715 = (?)
GCD of 15 and 715 is 5.
15/715 = (15/5)/(715/5)
= 3/143
15/715 = 3/143
15/715 simplified is 3/143 in fraction form
where,
15/715 is the given fraction to be simplified,
3/143 is the lowest term of 15/715.

Notes: Simplify 15/715 in lowest terms
1. 15/715 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 15 and 715 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 15/715 can be represented in its reduced form.
2. On the other hand, you can also reduce 15/715 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 15/715 becomes (3 x 5)/(5 x 11 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 15/715 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 15/715

what to be found:
15/715 = ?
Simplify 15/715 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 15/715.
Prime factors of 15 = 3 x 5

step 3 Find the prime factors of the denominator of given fraction 15/715.
Prime factors of 715 = 5 x 11 x 13

step 4 Rewrite the fraction 15/715 in the form of prime factors as like the below:
15/715= (3 x 5) / (5 x 11 x 13)

step 5 Check and reduce the factors of 15 and 715 if any factors in the numerator and denominator cancel each other:
= (3 x 5) / (5 x 11 x 13)
= (3 )/( 11 x 13)
15/715 = 3/143

Hence,
15/715 in simplest form is 3/143.

Representing fraction 15/715 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 15/715 in its lowest terms.