438/42 Simplified

Learn how to find what is 438/42 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 438/42 in simplest form.

To reduce 438/42 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 438/42 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 438 and 42 is 6. Dividing both the numerator and denominator by GCF, the fraction 438/42 becomes 73/7 which is the simplest form.

438/42 Simplified as a Fraction
Using Factorization:
438/42 = (?)
438/42 = (2 x 3 x 73)/(2 x 3 x 7)      write 438/42 in terms of factors
= 73/7
438/42 = 73/7
438/42 simplified is 73/7

Using GCF
438/42 = (?)
GCF of 438 and 42 is 6.
438/42 = (438/6)/(42/6)
= 73/7
438/42 = 73/7
438/42 simplified is 73/7 in fraction form
where,
438/42 is the given fraction to be simplified,
73/7 is the lowest term of 438/42.

Notes: 438/42 simplified in lowest terms
1. 438/42 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 438 and 42 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 438/42 can be represented in its reduced form.
2. On the other hand, you can also reduce 438/42 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 438/42 becomes (2 x 3 x 73)/(2 x 3 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 438/42 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 438/42

what to be found:
438/42 = ?
Reduce 438/42 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 438/42.
Prime factors of 438 = 2 x 3 x 73

step 3 Find the prime factors of the denominator of given fraction 438/42.
Prime factors of 42 = 2 x 3 x 7

step 4 Rewrite the fraction 438/42 in the form of prime factors as like the below:
438/42= (2 x 3 x 73) / (2 x 3 x 7)

step 5 Check and reduce the factors of 438 and 42 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 73) / (2 x 3 x 7)
= ( 73)/( 7)
438/42 = 73/7
Hence,
438/42 in simplest form is 73/7.

438/42 simplified is 73/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 438/42 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 438/42 in its lowest terms.