745/85 Simplified

Learn how to find what is 745/85 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 745/85 in simplest form.

To simplify 745/85 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 745/85 can be reduced in simplest form. In this case, the greatest common divisor of 745 and 85 is 5. Dividing both the numerator and denominator by GCD, the fraction 745/85 becomes 149/17 which is the simplest form.

Simplify 745/85 as a Fraction
Using Factorization:
745/85 = (?)
745/85 = (5 x 149)/(5 x 17)      //write 745/85 in terms of factors
= 149/17
745/85 = 149/17
745/85 simplified is 149/17

Using GCD:
745/85 = (?)
GCD of 745 and 85 is 5.
745/85 = (745/5)/(85/5)
= 149/17
745/85 = 149/17
745/85 simplified is 149/17 in fraction form
where,
745/85 is the given fraction to be simplified,
149/17 is the lowest term of 745/85.

Notes: Simplify 745/85 in lowest terms
1. 745/85 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 745 and 85 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 745/85 can be represented in its reduced form.
2. On the other hand, you can also reduce 745/85 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 745/85 becomes (5 x 149)/(5 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 745/85 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 745/85

what to be found:
745/85 = ?
Simplify 745/85 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 745/85.
Prime factors of 745 = 5 x 149

step 3 Find the prime factors of the denominator of given fraction 745/85.
Prime factors of 85 = 5 x 17

step 4 Rewrite the fraction 745/85 in the form of prime factors as like the below:
745/85= (5 x 149) / (5 x 17)

step 5 Check and reduce the factors of 745 and 85 if any factors in the numerator and denominator cancel each other:
= (5 x 149) / (5 x 17)
= ( 149)/( 17)
745/85 = 149/17

Hence,
745/85 in simplest form is 149/17.

Representing fraction 745/85 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 745/85 in its lowest terms.