What is 437/989 simplified as a fraction?
437/989 in simplest form is 19/43.
Learn how to find what is 437/989 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 437/989 in simplest form.
To reduce 437/989 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 437/989 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 437 and 989 is 23. Dividing both the numerator and denominator by GCF, the fraction 437/989 becomes 19/43 which is the simplest form.
437/989 Simplified as a Fraction
Using Factorization:
437/989 = (?)
437/989 = (19 x 23)/(23 x 43) write 437/989 in terms of factors
= 19/43
437/989 = 19/43
437/989 simplified is 19/43
Using GCF
437/989 = (?)
GCF of 437 and 989 is 23.
437/989 = (437/23)/(989/23)
= 19/43
437/989 = 19/43
437/989 simplified is 19/43 in fraction form
where,
437/989 is the given fraction to be simplified,
19/43 is the lowest term of 437/989.
Notes: 437/989 simplified in lowest terms
1. 437/989 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 437 and 989 is 23 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 437/989 can be represented in its reduced form.
2. On the other hand, you can also reduce 437/989 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 437/989 becomes (19 x 23)/(23 x 43). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 437/989 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 437/989
what to be found:
437/989 = ?
Reduce 437/989 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 437/989.
Prime factors of 437 = 19 x 23
step 3 Find the prime factors of the denominator of given fraction 437/989.
Prime factors of 989 = 23 x 43
step 4 Rewrite the fraction 437/989 in the form of prime factors as like the below:
437/989= (19 x 23) / (23 x 43)
step 5 Check and reduce the factors of 437 and 989 if any factors in the numerator and denominator cancel each other:
= (19 x 23) / (23 x 43)
= (19 )/( 43)
437/989 = 19/43
Hence,
437/989 in simplest form is 19/43.
437/989 simplified is 19/43, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 437/989 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 437/989 in its lowest terms.