What is 30/150 simplified as a fraction?

30/150 in simplest form is 1/5.

Learn how to find what is 30/150 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 30/150 in simplest form.

To reduce 30/150 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 30/150 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 30 and 150 is 30. Dividing both the numerator and denominator by GCF, the fraction 30/150 becomes 1/5 which is the simplest form.

__30/150 Simplified as a Fraction__

Using Factorization:

30/150 = (?)

30/150 = (2 x 3 x 5)/(2 x 3 x 5 x 5) write 30/150 in terms of factors

= 1/5

30/150 = 1/5**30/150 simplified is 1/5**

Using GCF

30/150 = (?)

GCF of 30 and 150 is 30.

30/150 = (30/30)/(150/30)

= 1/5

30/150 = 1/5

30/150 simplified is 1/5 in fraction form__where,__

30/150 is the given fraction to be simplified,

1/5 is the lowest term of 30/150.

__Notes: 30/150 simplified in lowest terms__

1. 30/150 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 30 and 150 is 30 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 30/150 can be represented in its reduced form.

2. On the other hand, you can also reduce 30/150 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 30/150 becomes (2 x 3 x 5)/(2 x 3 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 30/150 in its lowest terms.

step 1 Observe the input parameters and what to be found:

__Input values:__

Fraction = 30/150

__what to be found__:

30/150 = ?

Reduce 30/150 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 30/150.*Prime factors of 30* = 2 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 30/150.*Prime factors of 150* = 2 x 3 x 5 x 5

step 4 Rewrite the fraction 30/150 in the form of prime factors as like the below:

30/150= (2 x 3 x 5) / (2 x 3 x 5 x 5)

step 5 Check and reduce the factors of 30 and 150 if any factors in the numerator and denominator cancel each other:

= (2 x 3 x 5) / (2 x 3 x 5 x 5)

= (1)/( 5)

30/150 = 1/5

Hence,

30/150 in simplest form is 1/5.

30/150 simplified is 1/5, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 30/150 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 30/150 in its lowest terms.