740/240 Simplified

Learn how to find what is 740/240 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 740/240 in simplest form.

To reduce 740/240 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 740/240 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 740 and 240 is 20. Dividing both the numerator and denominator by GCF, the fraction 740/240 becomes 37/12 which is the simplest form.

740/240 Simplified as a Fraction
Using Factorization:
740/240 = (?)
740/240 = (2 x 2 x 5 x 37)/(2 x 2 x 2 x 2 x 3 x 5)      write 740/240 in terms of factors
= 37/12
740/240 = 37/12
740/240 simplified is 37/12

Using GCF
740/240 = (?)
GCF of 740 and 240 is 20.
740/240 = (740/20)/(240/20)
= 37/12
740/240 = 37/12
740/240 simplified is 37/12 in fraction form
where,
740/240 is the given fraction to be simplified,
37/12 is the lowest term of 740/240.

Notes: 740/240 simplified in lowest terms
1. 740/240 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 740 and 240 is 20 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 740/240 can be represented in its reduced form.
2. On the other hand, you can also reduce 740/240 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 740/240 becomes (2 x 2 x 5 x 37)/(2 x 2 x 2 x 2 x 3 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 740/240 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 740/240

what to be found:
740/240 = ?
Reduce 740/240 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 740/240.
Prime factors of 740 = 2 x 2 x 5 x 37

step 3 Find the prime factors of the denominator of given fraction 740/240.
Prime factors of 240 = 2 x 2 x 2 x 2 x 3 x 5

step 4 Rewrite the fraction 740/240 in the form of prime factors as like the below:
740/240= (2 x 2 x 5 x 37) / (2 x 2 x 2 x 2 x 3 x 5)

step 5 Check and reduce the factors of 740 and 240 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 5 x 37) / (2 x 2 x 2 x 2 x 3 x 5)
= ( 37)/( 2 x 2 x 3 )
740/240 = 37/12
Hence,
740/240 in simplest form is 37/12.

740/240 simplified is 37/12, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 740/240 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 740/240 in its lowest terms.