What is 80/360 simplified as a fraction?
80/360 in simplest form is 2/9.
Learn how to find what is 80/360 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 80/360 in simplest form.
To reduce 80/360 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 80/360 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 80 and 360 is 40. Dividing both the numerator and denominator by GCF, the fraction 80/360 becomes 2/9 which is the simplest form.
80/360 Simplified as a Fraction
Using Factorization:
80/360 = (?)
80/360 = (2 x 2 x 2 x 2 x 5)/(2 x 2 x 2 x 3 x 3 x 5) write 80/360 in terms of factors
= 2/9
80/360 = 2/9
80/360 simplified is 2/9
Using GCF
80/360 = (?)
GCF of 80 and 360 is 40.
80/360 = (80/40)/(360/40)
= 2/9
80/360 = 2/9
80/360 simplified is 2/9 in fraction form
where,
80/360 is the given fraction to be simplified,
2/9 is the lowest term of 80/360.
Notes: 80/360 simplified in lowest terms
1. 80/360 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 80 and 360 is 40 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 80/360 can be represented in its reduced form.
2. On the other hand, you can also reduce 80/360 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 80/360 becomes (2 x 2 x 2 x 2 x 5)/(2 x 2 x 2 x 3 x 3 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 80/360 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 80/360
what to be found:
80/360 = ?
Reduce 80/360 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 80/360.
Prime factors of 80 = 2 x 2 x 2 x 2 x 5
step 3 Find the prime factors of the denominator of given fraction 80/360.
Prime factors of 360 = 2 x 2 x 2 x 3 x 3 x 5
step 4 Rewrite the fraction 80/360 in the form of prime factors as like the below:
80/360= (2 x 2 x 2 x 2 x 5) / (2 x 2 x 2 x 3 x 3 x 5)
step 5 Check and reduce the factors of 80 and 360 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 5) / (2 x 2 x 2 x 3 x 3 x 5)
= ( 2 )/( 3 x 3 )
80/360 = 2/9
Hence,
80/360 in simplest form is 2/9.
80/360 simplified is 2/9, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 80/360 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 80/360 in its lowest terms.