35/210 Simplified

Learn how to find what is 35/210 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 35/210 in simplest form.

To reduce 35/210 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 35/210 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 35 and 210 is 35. Dividing both the numerator and denominator by GCF, the fraction 35/210 becomes 1/6 which is the simplest form.

35/210 Simplified as a Fraction
Using Factorization:
35/210 = (?)
35/210 = (5 x 7)/(2 x 3 x 5 x 7)      write 35/210 in terms of factors
= 1/6
35/210 = 1/6
35/210 simplified is 1/6

Using GCF
35/210 = (?)
GCF of 35 and 210 is 35.
35/210 = (35/35)/(210/35)
= 1/6
35/210 = 1/6
35/210 simplified is 1/6 in fraction form
where,
35/210 is the given fraction to be simplified,
1/6 is the lowest term of 35/210.

Notes: 35/210 simplified in lowest terms
1. 35/210 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 35 and 210 is 35 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 35/210 can be represented in its reduced form.
2. On the other hand, you can also reduce 35/210 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 35/210 becomes (5 x 7)/(2 x 3 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 35/210 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 35/210

what to be found:
35/210 = ?
Reduce 35/210 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 35/210.
Prime factors of 35 = 5 x 7

step 3 Find the prime factors of the denominator of given fraction 35/210.
Prime factors of 210 = 2 x 3 x 5 x 7

step 4 Rewrite the fraction 35/210 in the form of prime factors as like the below:
35/210= (5 x 7) / (2 x 3 x 5 x 7)

step 5 Check and reduce the factors of 35 and 210 if any factors in the numerator and denominator cancel each other:
= (5 x 7) / (2 x 3 x 5 x 7)
= (1)/(2 x 3 )
35/210 = 1/6
Hence,
35/210 in simplest form is 1/6.

35/210 simplified is 1/6, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 35/210 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 35/210 in its lowest terms.