2280/248 Simplified

Learn how to find what is 2280/248 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 2280/248 in simplest form.

To reduce 2280/248 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 2280/248 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 2280 and 248 is 8. Dividing both the numerator and denominator by GCF, the fraction 2280/248 becomes 285/31 which is the simplest form.

2280/248 Simplified as a Fraction
Using Factorization:
2280/248 = (?)
2280/248 = (2 x 2 x 2 x 3 x 5 x 19)/(2 x 2 x 2 x 31)      write 2280/248 in terms of factors
= 285/31
2280/248 = 285/31
2280/248 simplified is 285/31

Using GCF
2280/248 = (?)
GCF of 2280 and 248 is 8.
2280/248 = (2280/8)/(248/8)
= 285/31
2280/248 = 285/31
2280/248 simplified is 285/31 in fraction form
where,
2280/248 is the given fraction to be simplified,
285/31 is the lowest term of 2280/248.

Notes: 2280/248 simplified in lowest terms
1. 2280/248 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 2280 and 248 is 8 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 2280/248 can be represented in its reduced form.
2. On the other hand, you can also reduce 2280/248 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 2280/248 becomes (2 x 2 x 2 x 3 x 5 x 19)/(2 x 2 x 2 x 31). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 2280/248 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 2280/248

what to be found:
2280/248 = ?
Reduce 2280/248 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 2280/248.
Prime factors of 2280 = 2 x 2 x 2 x 3 x 5 x 19

step 3 Find the prime factors of the denominator of given fraction 2280/248.
Prime factors of 248 = 2 x 2 x 2 x 31

step 4 Rewrite the fraction 2280/248 in the form of prime factors as like the below:
2280/248= (2 x 2 x 2 x 3 x 5 x 19) / (2 x 2 x 2 x 31)

step 5 Check and reduce the factors of 2280 and 248 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 5 x 19) / (2 x 2 x 2 x 31)
= ( 3 x 5 x 19)/( 31)
2280/248 = 285/31
Hence,
2280/248 in simplest form is 285/31.

2280/248 simplified is 285/31, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 2280/248 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 2280/248 in its lowest terms.