3472/20 Simplified

Learn how to find what is 3472/20 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 3472/20 in simplest form.

To simplify 3472/20 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 3472/20 can be reduced in simplest form. In this case, the greatest common divisor of 3472 and 20 is 4. Dividing both the numerator and denominator by GCD, the fraction 3472/20 becomes 868/5 which is the simplest form.

Simplify 3472/20 as a Fraction
Using Factorization:
3472/20 = (?)
3472/20 = (2 x 2 x 2 x 2 x 7 x 31)/(2 x 2 x 5)      //write 3472/20 in terms of factors
= 868/5
3472/20 = 868/5
3472/20 simplified is 868/5

Using GCD:
3472/20 = (?)
GCD of 3472 and 20 is 4.
3472/20 = (3472/4)/(20/4)
= 868/5
3472/20 = 868/5
3472/20 simplified is 868/5 in fraction form
where,
3472/20 is the given fraction to be simplified,
868/5 is the lowest term of 3472/20.

Notes: Simplify 3472/20 in lowest terms
1. 3472/20 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 3472 and 20 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 3472/20 can be represented in its reduced form.
2. On the other hand, you can also reduce 3472/20 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 3472/20 becomes (2 x 2 x 2 x 2 x 7 x 31)/(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 3472/20 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 3472/20

what to be found:
3472/20 = ?
Simplify 3472/20 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 3472/20.
Prime factors of 3472 = 2 x 2 x 2 x 2 x 7 x 31

step 3 Find the prime factors of the denominator of given fraction 3472/20.
Prime factors of 20 = 2 x 2 x 5

step 4 Rewrite the fraction 3472/20 in the form of prime factors as like the below:
3472/20= (2 x 2 x 2 x 2 x 7 x 31) / (2 x 2 x 5)

step 5 Check and reduce the factors of 3472 and 20 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 7 x 31) / (2 x 2 x 5)
= ( 2 x 2 x 7 x 31)/( 5)
3472/20 = 868/5

Hence,
3472/20 in simplest form is 868/5.

Representing fraction 3472/20 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 3472/20 in its lowest terms.