What is 948/381 simplified as a fraction?
948/381 in simplest form is 316/127.
Learn how to find what is 948/381 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 948/381 in simplest form.
To reduce 948/381 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 948/381 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 948 and 381 is 3. Dividing both the numerator and denominator by GCF, the fraction 948/381 becomes 316/127 which is the simplest form.
948/381 Simplified as a Fraction
Using Factorization:
948/381 = (?)
948/381 = (2 x 2 x 3 x 79)/(3 x 127) write 948/381 in terms of factors
= 316/127
948/381 = 316/127
948/381 simplified is 316/127
Using GCF
948/381 = (?)
GCF of 948 and 381 is 3.
948/381 = (948/3)/(381/3)
= 316/127
948/381 = 316/127
948/381 simplified is 316/127 in fraction form
where,
948/381 is the given fraction to be simplified,
316/127 is the lowest term of 948/381.
Notes: 948/381 simplified in lowest terms
1. 948/381 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 948 and 381 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 948/381 can be represented in its reduced form.
2. On the other hand, you can also reduce 948/381 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 948/381 becomes (2 x 2 x 3 x 79)/(3 x 127). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 948/381 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 948/381
what to be found:
948/381 = ?
Reduce 948/381 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 948/381.
Prime factors of 948 = 2 x 2 x 3 x 79
step 3 Find the prime factors of the denominator of given fraction 948/381.
Prime factors of 381 = 3 x 127
step 4 Rewrite the fraction 948/381 in the form of prime factors as like the below:
948/381= (2 x 2 x 3 x 79) / (3 x 127)
step 5 Check and reduce the factors of 948 and 381 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 79) / (3 x 127)
= (2 x 2 x 79)/( 127)
948/381 = 316/127
Hence,
948/381 in simplest form is 316/127.
948/381 simplified is 316/127, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 948/381 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 948/381 in its lowest terms.