What is 6/42 simplified as a fraction?
6/42 in simplest form is 1/7.
Learn how to find what is 6/42 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 6/42 in simplest form.
To reduce 6/42 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 6/42 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 6 and 42 is 6. Dividing both the numerator and denominator by GCF, the fraction 6/42 becomes 1/7 which is the simplest form.
6/42 Simplified as a Fraction
Using Factorization:
6/42 = (?)
6/42 = (2 x 3)/(2 x 3 x 7) write 6/42 in terms of factors
= 1/7
6/42 = 1/7
6/42 simplified is 1/7
Using GCF
6/42 = (?)
GCF of 6 and 42 is 6.
6/42 = (6/6)/(42/6)
= 1/7
6/42 = 1/7
6/42 simplified is 1/7 in fraction form
where,
6/42 is the given fraction to be simplified,
1/7 is the lowest term of 6/42.
Notes: 6/42 simplified in lowest terms
1. 6/42 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 6 and 42 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 6/42 can be represented in its reduced form.
2. On the other hand, you can also reduce 6/42 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 6/42 becomes (2 x 3)/(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 6/42 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 6/42
what to be found:
6/42 = ?
Reduce 6/42 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 6/42.
Prime factors of 6 = 2 x 3
step 3 Find the prime factors of the denominator of given fraction 6/42.
Prime factors of 42 = 2 x 3 x 7
step 4 Rewrite the fraction 6/42 in the form of prime factors as like the below:
6/42= (2 x 3) / (2 x 3 x 7)
step 5 Check and reduce the factors of 6 and 42 if any factors in the numerator and denominator cancel each other:
= (2 x 3) / (2 x 3 x 7)
= (1)/( 7)
6/42 = 1/7
Hence,
6/42 in simplest form is 1/7.
6/42 simplified is 1/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 6/42 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 6/42 in its lowest terms.