4/10 Simplified

Learn how to find what is 4/10 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 4/10 in simplest form.

To reduce 4/10 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 4/10 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 4 and 10 is 2. Dividing both the numerator and denominator by GCF, the fraction 4/10 becomes 2/5 which is the simplest form.

4/10 Simplified as a Fraction
Using Factorization:
4/10 = (?)
4/10 = (2 x 2)/(2 x 5)      write 4/10 in terms of factors
= 2/5
4/10 = 2/5
4/10 simplified is 2/5

Using GCF
4/10 = (?)
GCF of 4 and 10 is 2.
4/10 = (4/2)/(10/2)
= 2/5
4/10 = 2/5
4/10 simplified is 2/5 in fraction form
where,
4/10 is the given fraction to be simplified,
2/5 is the lowest term of 4/10.

Notes: 4/10 simplified in lowest terms
1. 4/10 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 4 and 10 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 4/10 can be represented in its reduced form.
2. On the other hand, you can also reduce 4/10 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 4/10 becomes (2 x 2)/(2 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 4/10 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 4/10

what to be found:
4/10 = ?
Reduce 4/10 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 4/10.
Prime factors of 4 = 2 x 2

step 3 Find the prime factors of the denominator of given fraction 4/10.
Prime factors of 10 = 2 x 5

step 4 Rewrite the fraction 4/10 in the form of prime factors as like the below:
4/10= (2 x 2) / (2 x 5)

step 5 Check and reduce the factors of 4 and 10 if any factors in the numerator and denominator cancel each other:
= (2 x 2) / (2 x 5)
= ( 2)/( 5)
4/10 = 2/5
Hence,
4/10 in simplest form is 2/5.

4/10 simplified is 2/5, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 4/10 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 4/10 in its lowest terms.