What is 250/2500 simplified as a fraction?
250/2500 in simplest form is 1/10.
Learn how to find what is 250/2500 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 250/2500 in simplest form.
To reduce 250/2500 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 250/2500 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 250 and 2500 is 250. Dividing both the numerator and denominator by GCF, the fraction 250/2500 becomes 1/10 which is the simplest form.
250/2500 Simplified as a Fraction
Using Factorization:
250/2500 = (?)
250/2500 = (2 x 5 x 5 x 5)/(2 x 2 x 5 x 5 x 5 x 5) write 250/2500 in terms of factors
= 1/10
250/2500 = 1/10
250/2500 simplified is 1/10
Using GCF
250/2500 = (?)
GCF of 250 and 2500 is 250.
250/2500 = (250/250)/(2500/250)
= 1/10
250/2500 = 1/10
250/2500 simplified is 1/10 in fraction form
where,
250/2500 is the given fraction to be simplified,
1/10 is the lowest term of 250/2500.
Notes: 250/2500 simplified in lowest terms
1. 250/2500 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 250 and 2500 is 250 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 250/2500 can be represented in its reduced form.
2. On the other hand, you can also reduce 250/2500 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 250/2500 becomes (2 x 5 x 5 x 5)/(2 x 2 x 5 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 250/2500 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 250/2500
what to be found:
250/2500 = ?
Reduce 250/2500 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 250/2500.
Prime factors of 250 = 2 x 5 x 5 x 5
step 3 Find the prime factors of the denominator of given fraction 250/2500.
Prime factors of 2500 = 2 x 2 x 5 x 5 x 5 x 5
step 4 Rewrite the fraction 250/2500 in the form of prime factors as like the below:
250/2500= (2 x 5 x 5 x 5) / (2 x 2 x 5 x 5 x 5 x 5)
step 5 Check and reduce the factors of 250 and 2500 if any factors in the numerator and denominator cancel each other:
= (2 x 5 x 5 x 5) / (2 x 2 x 5 x 5 x 5 x 5)
= (1)/( 2 x 5)
250/2500 = 1/10
Hence,
250/2500 in simplest form is 1/10.
250/2500 simplified is 1/10, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 250/2500 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 250/2500 in its lowest terms.