72/474 Simplified

Learn how to find what is 72/474 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 72/474 in simplest form.

To reduce 72/474 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 72/474 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 72 and 474 is 6. Dividing both the numerator and denominator by GCF, the fraction 72/474 becomes 12/79 which is the simplest form.

72/474 Simplified as a Fraction
Using Factorization:
72/474 = (?)
72/474 = (2 x 2 x 2 x 3 x 3)/(2 x 3 x 79)      write 72/474 in terms of factors
= 12/79
72/474 = 12/79
72/474 simplified is 12/79

Using GCF
72/474 = (?)
GCF of 72 and 474 is 6.
72/474 = (72/6)/(474/6)
= 12/79
72/474 = 12/79
72/474 simplified is 12/79 in fraction form
where,
72/474 is the given fraction to be simplified,
12/79 is the lowest term of 72/474.

Notes: 72/474 simplified in lowest terms
1. 72/474 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 72 and 474 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 72/474 can be represented in its reduced form.
2. On the other hand, you can also reduce 72/474 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 72/474 becomes (2 x 2 x 2 x 3 x 3)/(2 x 3 x 79). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 72/474 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 72/474

what to be found:
72/474 = ?
Reduce 72/474 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 72/474.
Prime factors of 72 = 2 x 2 x 2 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 72/474.
Prime factors of 474 = 2 x 3 x 79

step 4 Rewrite the fraction 72/474 in the form of prime factors as like the below:
72/474= (2 x 2 x 2 x 3 x 3) / (2 x 3 x 79)

step 5 Check and reduce the factors of 72 and 474 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 3) / (2 x 3 x 79)
= ( 2 x 2 x 3)/( 79)
72/474 = 12/79
Hence,
72/474 in simplest form is 12/79.

72/474 simplified is 12/79, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 72/474 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 72/474 in its lowest terms.