What is 203125/1000000 simplified as a fraction?
203125/1000000 in simplest form is 13/64.
Learn how to find what is 203125/1000000 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 203125/1000000 in simplest form.
To reduce 203125/1000000 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 203125/1000000 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 203125 and 1000000 is 15625. Dividing both the numerator and denominator by GCF, the fraction 203125/1000000 becomes 13/64 which is the simplest form.
203125/1000000 Simplified as a Fraction
Using Factorization:
203125/1000000 = (?)
203125/1000000 = (5 x 5 x 5 x 5 x 5 x 5 x 13)/(2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5) write 203125/1000000 in terms of factors
= 13/64
203125/1000000 = 13/64
203125/1000000 simplified is 13/64
Using GCF
203125/1000000 = (?)
GCF of 203125 and 1000000 is 15625.
203125/1000000 = (203125/15625)/(1000000/15625)
= 13/64
203125/1000000 = 13/64
203125/1000000 simplified is 13/64 in fraction form
where,
203125/1000000 is the given fraction to be simplified,
13/64 is the lowest term of 203125/1000000.
Notes: 203125/1000000 simplified in lowest terms
1. 203125/1000000 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 203125 and 1000000 is 15625 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 203125/1000000 can be represented in its reduced form.
2. On the other hand, you can also reduce 203125/1000000 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 203125/1000000 becomes (5 x 5 x 5 x 5 x 5 x 5 x 13)/(2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 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 203125/1000000 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 203125/1000000
what to be found:
203125/1000000 = ?
Reduce 203125/1000000 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 203125/1000000.
Prime factors of 203125 = 5 x 5 x 5 x 5 x 5 x 5 x 13
step 3 Find the prime factors of the denominator of given fraction 203125/1000000.
Prime factors of 1000000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5
step 4 Rewrite the fraction 203125/1000000 in the form of prime factors as like the below:
203125/1000000= (5 x 5 x 5 x 5 x 5 x 5 x 13) / (2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5)
step 5 Check and reduce the factors of 203125 and 1000000 if any factors in the numerator and denominator cancel each other:
= (5 x 5 x 5 x 5 x 5 x 5 x 13) / (2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5)
= ( 13)/(2 x 2 x 2 x 2 x 2 x 2 )
203125/1000000 = 13/64
Hence,
203125/1000000 in simplest form is 13/64.
203125/1000000 simplified is 13/64, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 203125/1000000 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 203125/1000000 in its lowest terms.