What is 140625/1000000 simplified as a fraction?
140625/1000000 in simplest form is 9/64.
Learn how to find what is 140625/1000000 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 140625/1000000 in simplest form.
To reduce 140625/1000000 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 140625/1000000 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 140625 and 1000000 is 15625. Dividing both the numerator and denominator by GCF, the fraction 140625/1000000 becomes 9/64 which is the simplest form.
140625/1000000 Simplified as a Fraction
Using Factorization:
140625/1000000 = (?)
140625/1000000 = (3 x 3 x 5 x 5 x 5 x 5 x 5 x 5)/(2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5) write 140625/1000000 in terms of factors
= 9/64
140625/1000000 = 9/64
140625/1000000 simplified is 9/64
Using GCF
140625/1000000 = (?)
GCF of 140625 and 1000000 is 15625.
140625/1000000 = (140625/15625)/(1000000/15625)
= 9/64
140625/1000000 = 9/64
140625/1000000 simplified is 9/64 in fraction form
where,
140625/1000000 is the given fraction to be simplified,
9/64 is the lowest term of 140625/1000000.
Notes: 140625/1000000 simplified in lowest terms
1. 140625/1000000 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 140625 and 1000000 is 15625 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 140625/1000000 can be represented in its reduced form.
2. On the other hand, you can also reduce 140625/1000000 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 140625/1000000 becomes (3 x 3 x 5 x 5 x 5 x 5 x 5 x 5)/(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 140625/1000000 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 140625/1000000
what to be found:
140625/1000000 = ?
Reduce 140625/1000000 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 140625/1000000.
Prime factors of 140625 = 3 x 3 x 5 x 5 x 5 x 5 x 5 x 5
step 3 Find the prime factors of the denominator of given fraction 140625/1000000.
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 140625/1000000 in the form of prime factors as like the below:
140625/1000000= (3 x 3 x 5 x 5 x 5 x 5 x 5 x 5) / (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 140625 and 1000000 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 5 x 5 x 5 x 5 x 5 x 5) / (2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5)
= (3 x 3 )/(2 x 2 x 2 x 2 x 2 x 2 )
140625/1000000 = 9/64
Hence,
140625/1000000 in simplest form is 9/64.
140625/1000000 simplified is 9/64, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 140625/1000000 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 140625/1000000 in its lowest terms.