What is 942/996 simplified as a fraction?
942/996 in simplest form is 157/166.
Learn how to find what is 942/996 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 942/996 in simplest form.
To reduce 942/996 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 942/996 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 942 and 996 is 6. Dividing both the numerator and denominator by GCF, the fraction 942/996 becomes 157/166 which is the simplest form.
942/996 Simplified as a Fraction
Using Factorization:
942/996 = (?)
942/996 = (2 x 3 x 157)/(2 x 2 x 3 x 83) write 942/996 in terms of factors
= 157/166
942/996 = 157/166
942/996 simplified is 157/166
Using GCF
942/996 = (?)
GCF of 942 and 996 is 6.
942/996 = (942/6)/(996/6)
= 157/166
942/996 = 157/166
942/996 simplified is 157/166 in fraction form
where,
942/996 is the given fraction to be simplified,
157/166 is the lowest term of 942/996.
Notes: 942/996 simplified in lowest terms
1. 942/996 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 942 and 996 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 942/996 can be represented in its reduced form.
2. On the other hand, you can also reduce 942/996 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 942/996 becomes (2 x 3 x 157)/(2 x 2 x 3 x 83). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 942/996 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 942/996
what to be found:
942/996 = ?
Reduce 942/996 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 942/996.
Prime factors of 942 = 2 x 3 x 157
step 3 Find the prime factors of the denominator of given fraction 942/996.
Prime factors of 996 = 2 x 2 x 3 x 83
step 4 Rewrite the fraction 942/996 in the form of prime factors as like the below:
942/996= (2 x 3 x 157) / (2 x 2 x 3 x 83)
step 5 Check and reduce the factors of 942 and 996 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 157) / (2 x 2 x 3 x 83)
= ( 157)/( 2 x 83)
942/996 = 157/166
Hence,
942/996 in simplest form is 157/166.
942/996 simplified is 157/166, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 942/996 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 942/996 in its lowest terms.