690/10 Simplified

Learn how to find what is 690/10 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 690/10 in simplest form.

To reduce 690/10 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 690/10 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 690 and 10 is 10. Dividing both the numerator and denominator by GCF, the fraction 690/10 becomes 69/1 which is the simplest form.

690/10 Simplified as a Fraction
Using Factorization:
690/10 = (?)
690/10 = (2 x 3 x 5 x 23)/(2 x 5)      write 690/10 in terms of factors
= 69/1
690/10 = 69/1
690/10 simplified is 69/1

Using GCF
690/10 = (?)
GCF of 690 and 10 is 10.
690/10 = (690/10)/(10/10)
= 69/1
690/10 = 69/1
690/10 simplified is 69/1 in fraction form
where,
690/10 is the given fraction to be simplified,
69/1 is the lowest term of 690/10.

Notes: 690/10 simplified in lowest terms
1. 690/10 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 690 and 10 is 10 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 690/10 can be represented in its reduced form.
2. On the other hand, you can also reduce 690/10 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 690/10 becomes (2 x 3 x 5 x 23)/(2 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 690/10 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 690/10

what to be found:
690/10 = ?
Reduce 690/10 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 690/10.
Prime factors of 690 = 2 x 3 x 5 x 23

step 3 Find the prime factors of the denominator of given fraction 690/10.
Prime factors of 10 = 2 x 5

step 4 Rewrite the fraction 690/10 in the form of prime factors as like the below:
690/10= (2 x 3 x 5 x 23) / (2 x 5)

step 5 Check and reduce the factors of 690 and 10 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 5 x 23) / (2 x 5)
= ( 3 x 23)/(1)
690/10 = 69/1
Hence,
690/10 in simplest form is 69/1.

690/10 simplified is 69/1, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 690/10 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 690/10 in its lowest terms.