What is 945/363 simplified as a fraction?
945/363 in simplest form is 315/121.
Learn how to find what is 945/363 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 945/363 in simplest form.
To reduce 945/363 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 945/363 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 945 and 363 is 3. Dividing both the numerator and denominator by GCF, the fraction 945/363 becomes 315/121 which is the simplest form.
945/363 Simplified as a Fraction
Using Factorization:
945/363 = (?)
945/363 = (3 x 3 x 3 x 5 x 7)/(3 x 11 x 11) write 945/363 in terms of factors
= 315/121
945/363 = 315/121
945/363 simplified is 315/121
Using GCF
945/363 = (?)
GCF of 945 and 363 is 3.
945/363 = (945/3)/(363/3)
= 315/121
945/363 = 315/121
945/363 simplified is 315/121 in fraction form
where,
945/363 is the given fraction to be simplified,
315/121 is the lowest term of 945/363.
Notes: 945/363 simplified in lowest terms
1. 945/363 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 945 and 363 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 945/363 can be represented in its reduced form.
2. On the other hand, you can also reduce 945/363 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 945/363 becomes (3 x 3 x 3 x 5 x 7)/(3 x 11 x 11). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 945/363 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 945/363
what to be found:
945/363 = ?
Reduce 945/363 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 945/363.
Prime factors of 945 = 3 x 3 x 3 x 5 x 7
step 3 Find the prime factors of the denominator of given fraction 945/363.
Prime factors of 363 = 3 x 11 x 11
step 4 Rewrite the fraction 945/363 in the form of prime factors as like the below:
945/363= (3 x 3 x 3 x 5 x 7) / (3 x 11 x 11)
step 5 Check and reduce the factors of 945 and 363 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 3 x 5 x 7) / (3 x 11 x 11)
= ( 3 x 3 x 5 x 7)/( 11 x 11)
945/363 = 315/121
Hence,
945/363 in simplest form is 315/121.
945/363 simplified is 315/121, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 945/363 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 945/363 in its lowest terms.