745/149 Simplified

Learn how to find what is 745/149 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 745/149 in simplest form.

To reduce 745/149 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 745/149 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 745 and 149 is 149. Dividing both the numerator and denominator by GCF, the fraction 745/149 becomes 5/1 which is the simplest form.

745/149 Simplified as a Fraction
Using Factorization:
745/149 = (?)
745/149 = (5 x 149)/(149)      write 745/149 in terms of factors
= 5/1
745/149 = 5/1
745/149 simplified is 5/1

Using GCF
745/149 = (?)
GCF of 745 and 149 is 149.
745/149 = (745/149)/(149/149)
= 5/1
745/149 = 5/1
745/149 simplified is 5/1 in fraction form
where,
745/149 is the given fraction to be simplified,
5/1 is the lowest term of 745/149.

Notes: 745/149 simplified in lowest terms
1. 745/149 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 745 and 149 is 149 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 745/149 can be represented in its reduced form.
2. On the other hand, you can also reduce 745/149 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 745/149 becomes (5 x 149)/(149). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 745/149 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 745/149

what to be found:
745/149 = ?
Reduce 745/149 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 745/149.
Prime factors of 745 = 5 x 149

step 3 Find the prime factors of the denominator of given fraction 745/149.
Prime factors of 149 = 149

step 4 Rewrite the fraction 745/149 in the form of prime factors as like the below:
745/149= (5 x 149) / (149)

step 5 Check and reduce the factors of 745 and 149 if any factors in the numerator and denominator cancel each other:
= (5 x 149) / (149)
= (5 )/(1)
745/149 = 5/1
Hence,
745/149 in simplest form is 5/1.

745/149 simplified is 5/1, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 745/149 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 745/149 in its lowest terms.