150/305 Simplified

Learn how to find what is 150/305 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 150/305 in simplest form.

To reduce 150/305 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 150/305 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 150 and 305 is 5. Dividing both the numerator and denominator by GCF, the fraction 150/305 becomes 30/61 which is the simplest form.

150/305 Simplified as a Fraction
Using Factorization:
150/305 = (?)
150/305 = (2 x 3 x 5 x 5)/(5 x 61)      write 150/305 in terms of factors
= 30/61
150/305 = 30/61
150/305 simplified is 30/61

Using GCF
150/305 = (?)
GCF of 150 and 305 is 5.
150/305 = (150/5)/(305/5)
= 30/61
150/305 = 30/61
150/305 simplified is 30/61 in fraction form
where,
150/305 is the given fraction to be simplified,
30/61 is the lowest term of 150/305.

Notes: 150/305 simplified in lowest terms
1. 150/305 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 150 and 305 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 150/305 can be represented in its reduced form.
2. On the other hand, you can also reduce 150/305 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 150/305 becomes (2 x 3 x 5 x 5)/(5 x 61). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 150/305 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 150/305

what to be found:
150/305 = ?
Reduce 150/305 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 150/305.
Prime factors of 150 = 2 x 3 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 150/305.
Prime factors of 305 = 5 x 61

step 4 Rewrite the fraction 150/305 in the form of prime factors as like the below:
150/305= (2 x 3 x 5 x 5) / (5 x 61)

step 5 Check and reduce the factors of 150 and 305 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 5 x 5) / (5 x 61)
= (2 x 3 x 5)/( 61)
150/305 = 30/61
Hence,
150/305 in simplest form is 30/61.

150/305 simplified is 30/61, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 150/305 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 150/305 in its lowest terms.