What is 48/178 simplified as a fraction?
48/178 in simplest form is 24/89.
Learn how to find what is 48/178 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 48/178 in simplest form.
To reduce 48/178 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 48/178 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 48 and 178 is 2. Dividing both the numerator and denominator by GCF, the fraction 48/178 becomes 24/89 which is the simplest form.
48/178 Simplified as a Fraction
Using Factorization:
48/178 = (?)
48/178 = (2 x 2 x 2 x 2 x 3)/(2 x 89) write 48/178 in terms of factors
= 24/89
48/178 = 24/89
48/178 simplified is 24/89
Using GCF
48/178 = (?)
GCF of 48 and 178 is 2.
48/178 = (48/2)/(178/2)
= 24/89
48/178 = 24/89
48/178 simplified is 24/89 in fraction form
where,
48/178 is the given fraction to be simplified,
24/89 is the lowest term of 48/178.
Notes: 48/178 simplified in lowest terms
1. 48/178 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 48 and 178 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 48/178 can be represented in its reduced form.
2. On the other hand, you can also reduce 48/178 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 48/178 becomes (2 x 2 x 2 x 2 x 3)/(2 x 89). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 48/178 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 48/178
what to be found:
48/178 = ?
Reduce 48/178 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 48/178.
Prime factors of 48 = 2 x 2 x 2 x 2 x 3
step 3 Find the prime factors of the denominator of given fraction 48/178.
Prime factors of 178 = 2 x 89
step 4 Rewrite the fraction 48/178 in the form of prime factors as like the below:
48/178= (2 x 2 x 2 x 2 x 3) / (2 x 89)
step 5 Check and reduce the factors of 48 and 178 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 3) / (2 x 89)
= ( 2 x 2 x 2 x 3)/( 89)
48/178 = 24/89
Hence,
48/178 in simplest form is 24/89.
48/178 simplified is 24/89, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 48/178 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 48/178 in its lowest terms.