142/2 Simplified

Learn how to find what is 142/2 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 142/2 in simplest form.

To reduce 142/2 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 142/2 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 142 and 2 is 2. Dividing both the numerator and denominator by GCF, the fraction 142/2 becomes 71/1 which is the simplest form.

142/2 Simplified as a Fraction
Using Factorization:
142/2 = (?)
142/2 = (2 x 71)/(2)      write 142/2 in terms of factors
= 71/1
142/2 = 71/1
142/2 simplified is 71/1

Using GCF
142/2 = (?)
GCF of 142 and 2 is 2.
142/2 = (142/2)/(2/2)
= 71/1
142/2 = 71/1
142/2 simplified is 71/1 in fraction form
where,
142/2 is the given fraction to be simplified,
71/1 is the lowest term of 142/2.

Notes: 142/2 simplified in lowest terms
1. 142/2 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 142 and 2 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 142/2 can be represented in its reduced form.
2. On the other hand, you can also reduce 142/2 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 142/2 becomes (2 x 71)/(2). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 142/2 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 142/2

what to be found:
142/2 = ?
Reduce 142/2 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 142/2.
Prime factors of 142 = 2 x 71

step 3 Find the prime factors of the denominator of given fraction 142/2.
Prime factors of 2 = 2

step 4 Rewrite the fraction 142/2 in the form of prime factors as like the below:
142/2= (2 x 71) / (2)

step 5 Check and reduce the factors of 142 and 2 if any factors in the numerator and denominator cancel each other:
= (2 x 71) / (2)
= ( 71)/(1)
142/2 = 71/1
Hence,
142/2 in simplest form is 71/1.

142/2 simplified is 71/1, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 142/2 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 142/2 in its lowest terms.