What is 10/6 simplified as a fraction?
10/6 in simplest form is 5/3.
Learn how to find what is 10/6 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 10/6 in simplest form.
To reduce 10/6 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 10/6 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 10 and 6 is 2. Dividing both the numerator and denominator by GCF, the fraction 10/6 becomes 5/3 which is the simplest form.
10/6 Simplified as a Fraction
Using Factorization:
10/6 = (?)
10/6 = (2 x 5)/(2 x 3) write 10/6 in terms of factors
= 5/3
10/6 = 5/3
10/6 simplified is 5/3
Using GCF
10/6 = (?)
GCF of 10 and 6 is 2.
10/6 = (10/2)/(6/2)
= 5/3
10/6 = 5/3
10/6 simplified is 5/3 in fraction form
where,
10/6 is the given fraction to be simplified,
5/3 is the lowest term of 10/6.
Notes: 10/6 simplified in lowest terms
1. 10/6 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 10 and 6 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 10/6 can be represented in its reduced form.
2. On the other hand, you can also reduce 10/6 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 10/6 becomes (2 x 5)/(2 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 10/6 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 10/6
what to be found:
10/6 = ?
Reduce 10/6 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 10/6.
Prime factors of 10 = 2 x 5
step 3 Find the prime factors of the denominator of given fraction 10/6.
Prime factors of 6 = 2 x 3
step 4 Rewrite the fraction 10/6 in the form of prime factors as like the below:
10/6= (2 x 5) / (2 x 3)
step 5 Check and reduce the factors of 10 and 6 if any factors in the numerator and denominator cancel each other:
= (2 x 5) / (2 x 3)
= ( 5)/( 3)
10/6 = 5/3
Hence,
10/6 in simplest form is 5/3.
10/6 simplified is 5/3, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 10/6 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 10/6 in its lowest terms.