28/70 Simplified

Learn how to find what is 28/70 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 28/70 in simplest form.

To reduce 28/70 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 28/70 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 28 and 70 is 14. Dividing both the numerator and denominator by GCF, the fraction 28/70 becomes 2/5 which is the simplest form.

28/70 Simplified as a Fraction
Using Factorization:
28/70 = (?)
28/70 = (2 x 2 x 7)/(2 x 5 x 7)      write 28/70 in terms of factors
= 2/5
28/70 = 2/5
28/70 simplified is 2/5

Using GCF
28/70 = (?)
GCF of 28 and 70 is 14.
28/70 = (28/14)/(70/14)
= 2/5
28/70 = 2/5
28/70 simplified is 2/5 in fraction form
where,
28/70 is the given fraction to be simplified,
2/5 is the lowest term of 28/70.

Notes: 28/70 simplified in lowest terms
1. 28/70 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 28 and 70 is 14 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 28/70 can be represented in its reduced form.
2. On the other hand, you can also reduce 28/70 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 28/70 becomes (2 x 2 x 7)/(2 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 28/70 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 28/70

what to be found:
28/70 = ?
Reduce 28/70 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 28/70.
Prime factors of 28 = 2 x 2 x 7

step 3 Find the prime factors of the denominator of given fraction 28/70.
Prime factors of 70 = 2 x 5 x 7

step 4 Rewrite the fraction 28/70 in the form of prime factors as like the below:
28/70= (2 x 2 x 7) / (2 x 5 x 7)

step 5 Check and reduce the factors of 28 and 70 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 7) / (2 x 5 x 7)
= ( 2 )/( 5 )
28/70 = 2/5
Hence,
28/70 in simplest form is 2/5.

28/70 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 28/70 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 28/70 in its lowest terms.