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