What is 2/64 simplified as a fraction?
2/64 in simplest form is 1/32.
Learn how to find what is 2/64 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 2/64 in simplest form.
To reduce 2/64 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 2/64 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 2 and 64 is 2. Dividing both the numerator and denominator by GCF, the fraction 2/64 becomes 1/32 which is the simplest form.
2/64 Simplified as a Fraction
Using Factorization:
2/64 = (?)
2/64 = (2)/(2 x 2 x 2 x 2 x 2 x 2) write 2/64 in terms of factors
= 1/32
2/64 = 1/32
2/64 simplified is 1/32
Using GCF
2/64 = (?)
GCF of 2 and 64 is 2.
2/64 = (2/2)/(64/2)
= 1/32
2/64 = 1/32
2/64 simplified is 1/32 in fraction form
where,
2/64 is the given fraction to be simplified,
1/32 is the lowest term of 2/64.
Notes: 2/64 simplified in lowest terms
1. 2/64 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 2 and 64 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 2/64 can be represented in its reduced form.
2. On the other hand, you can also reduce 2/64 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 2/64 becomes (2)/(2 x 2 x 2 x 2 x 2 x 2). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 2/64 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 2/64
what to be found:
2/64 = ?
Reduce 2/64 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 2/64.
Prime factors of 2 = 2
step 3 Find the prime factors of the denominator of given fraction 2/64.
Prime factors of 64 = 2 x 2 x 2 x 2 x 2 x 2
step 4 Rewrite the fraction 2/64 in the form of prime factors as like the below:
2/64= (2) / (2 x 2 x 2 x 2 x 2 x 2)
step 5 Check and reduce the factors of 2 and 64 if any factors in the numerator and denominator cancel each other:
= (2) / (2 x 2 x 2 x 2 x 2 x 2)
= (1)/( 2 x 2 x 2 x 2 x 2)
2/64 = 1/32
Hence,
2/64 in simplest form is 1/32.
2/64 simplified is 1/32, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 2/64 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 2/64 in its lowest terms.