768/158 Simplified

Learn how to find what is 768/158 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 768/158 in simplest form.

To reduce 768/158 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 768/158 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 768 and 158 is 2. Dividing both the numerator and denominator by GCF, the fraction 768/158 becomes 384/79 which is the simplest form.

768/158 Simplified as a Fraction
Using Factorization:
768/158 = (?)
768/158 = (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3)/(2 x 79)      write 768/158 in terms of factors
= 384/79
768/158 = 384/79
768/158 simplified is 384/79

Using GCF
768/158 = (?)
GCF of 768 and 158 is 2.
768/158 = (768/2)/(158/2)
= 384/79
768/158 = 384/79
768/158 simplified is 384/79 in fraction form
where,
768/158 is the given fraction to be simplified,
384/79 is the lowest term of 768/158.

Notes: 768/158 simplified in lowest terms
1. 768/158 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 768 and 158 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 768/158 can be represented in its reduced form.
2. On the other hand, you can also reduce 768/158 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 768/158 becomes (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3)/(2 x 79). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 768/158 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 768/158

what to be found:
768/158 = ?
Reduce 768/158 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 768/158.
Prime factors of 768 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

step 3 Find the prime factors of the denominator of given fraction 768/158.
Prime factors of 158 = 2 x 79

step 4 Rewrite the fraction 768/158 in the form of prime factors as like the below:
768/158= (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3) / (2 x 79)

step 5 Check and reduce the factors of 768 and 158 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3) / (2 x 79)
= ( 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3)/( 79)
768/158 = 384/79
Hence,
768/158 in simplest form is 384/79.

768/158 simplified is 384/79, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 768/158 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 768/158 in its lowest terms.