375/1000 Simplified

Learn how to find what is 375/1000 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 375/1000 in simplest form.

To reduce 375/1000 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 375/1000 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 375 and 1000 is 125. Dividing both the numerator and denominator by GCF, the fraction 375/1000 becomes 3/8 which is the simplest form.

375/1000 Simplified as a Fraction
Using Factorization:
375/1000 = (?)
375/1000 = (3 x 5 x 5 x 5)/(2 x 2 x 2 x 5 x 5 x 5)      write 375/1000 in terms of factors
= 3/8
375/1000 = 3/8
375/1000 simplified is 3/8

Using GCF
375/1000 = (?)
GCF of 375 and 1000 is 125.
375/1000 = (375/125)/(1000/125)
= 3/8
375/1000 = 3/8
375/1000 simplified is 3/8 in fraction form
where,
375/1000 is the given fraction to be simplified,
3/8 is the lowest term of 375/1000.

Notes: 375/1000 simplified in lowest terms
1. 375/1000 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 375 and 1000 is 125 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 375/1000 can be represented in its reduced form.
2. On the other hand, you can also reduce 375/1000 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 375/1000 becomes (3 x 5 x 5 x 5)/(2 x 2 x 2 x 5 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 375/1000 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 375/1000

what to be found:
375/1000 = ?
Reduce 375/1000 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 375/1000.
Prime factors of 375 = 3 x 5 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 375/1000.
Prime factors of 1000 = 2 x 2 x 2 x 5 x 5 x 5

step 4 Rewrite the fraction 375/1000 in the form of prime factors as like the below:
375/1000= (3 x 5 x 5 x 5) / (2 x 2 x 2 x 5 x 5 x 5)

step 5 Check and reduce the factors of 375 and 1000 if any factors in the numerator and denominator cancel each other:
= (3 x 5 x 5 x 5) / (2 x 2 x 2 x 5 x 5 x 5)
= (3 )/(2 x 2 x 2 )
375/1000 = 3/8
Hence,
375/1000 in simplest form is 3/8.

375/1000 simplified is 3/8, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 375/1000 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 375/1000 in its lowest terms.