706/988 Simplified

Learn how to find what is 706/988 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 706/988 in simplest form.

To reduce 706/988 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 706/988 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 706 and 988 is 2. Dividing both the numerator and denominator by GCF, the fraction 706/988 becomes 353/494 which is the simplest form.

706/988 Simplified as a Fraction
Using Factorization:
706/988 = (?)
706/988 = (2 x 353)/(2 x 2 x 13 x 19)      write 706/988 in terms of factors
= 353/494
706/988 = 353/494
706/988 simplified is 353/494

Using GCF
706/988 = (?)
GCF of 706 and 988 is 2.
706/988 = (706/2)/(988/2)
= 353/494
706/988 = 353/494
706/988 simplified is 353/494 in fraction form
where,
706/988 is the given fraction to be simplified,
353/494 is the lowest term of 706/988.

Notes: 706/988 simplified in lowest terms
1. 706/988 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 706 and 988 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 706/988 can be represented in its reduced form.
2. On the other hand, you can also reduce 706/988 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 706/988 becomes (2 x 353)/(2 x 2 x 13 x 19). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 706/988 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 706/988

what to be found:
706/988 = ?
Reduce 706/988 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 706/988.
Prime factors of 706 = 2 x 353

step 3 Find the prime factors of the denominator of given fraction 706/988.
Prime factors of 988 = 2 x 2 x 13 x 19

step 4 Rewrite the fraction 706/988 in the form of prime factors as like the below:
706/988= (2 x 353) / (2 x 2 x 13 x 19)

step 5 Check and reduce the factors of 706 and 988 if any factors in the numerator and denominator cancel each other:
= (2 x 353) / (2 x 2 x 13 x 19)
= ( 353)/( 2 x 13 x 19)
706/988 = 353/494
Hence,
706/988 in simplest form is 353/494.

706/988 simplified is 353/494, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 706/988 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 706/988 in its lowest terms.