918/999 Simplified

Learn how to find what is 918/999 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 918/999 in simplest form.

To reduce 918/999 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 918/999 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 918 and 999 is 27. Dividing both the numerator and denominator by GCF, the fraction 918/999 becomes 34/37 which is the simplest form.

918/999 Simplified as a Fraction
Using Factorization:
918/999 = (?)
918/999 = (2 x 3 x 3 x 3 x 17)/(3 x 3 x 3 x 37)      write 918/999 in terms of factors
= 34/37
918/999 = 34/37
918/999 simplified is 34/37

Using GCF
918/999 = (?)
GCF of 918 and 999 is 27.
918/999 = (918/27)/(999/27)
= 34/37
918/999 = 34/37
918/999 simplified is 34/37 in fraction form
where,
918/999 is the given fraction to be simplified,
34/37 is the lowest term of 918/999.

Notes: 918/999 simplified in lowest terms
1. 918/999 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 918 and 999 is 27 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 918/999 can be represented in its reduced form.
2. On the other hand, you can also reduce 918/999 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 918/999 becomes (2 x 3 x 3 x 3 x 17)/(3 x 3 x 3 x 37). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 918/999 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 918/999

what to be found:
918/999 = ?
Reduce 918/999 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 918/999.
Prime factors of 918 = 2 x 3 x 3 x 3 x 17

step 3 Find the prime factors of the denominator of given fraction 918/999.
Prime factors of 999 = 3 x 3 x 3 x 37

step 4 Rewrite the fraction 918/999 in the form of prime factors as like the below:
918/999= (2 x 3 x 3 x 3 x 17) / (3 x 3 x 3 x 37)

step 5 Check and reduce the factors of 918 and 999 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 3 x 3 x 17) / (3 x 3 x 3 x 37)
= (2 x 17)/( 37)
918/999 = 34/37
Hence,
918/999 in simplest form is 34/37.

918/999 simplified is 34/37, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 918/999 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 918/999 in its lowest terms.