0.064 as a Fraction in Simplest Form

Learn how to find what is 0.064 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 0.064 in its equivalent fraction form. It is required to recognize the decimal point 0.064 as 64 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.064 as a fraction and how it can be found easily.

Summary: 0.064 in fraction form
0.064 can be recognized as 64 thousandths, which can be represented as 64/1000 in fraction form. The simplest form of 64/1000 is 8/125. Therefore, 0.064 as a fraction is 8/125.

Write 0.064 as a fraction in simplest form.
0.064 = (?)
0.064 = 0.064/1
= (0.064/1) x (1000/1000)      //0.064 can be recognized as 64 thousandths.
= 64/1000      //64 thousandths is equal to 64/1000 and it can be simplified further.
= (64/8)/(1000/8)       //8 is the GCF of 64 and 1000. Divide both 64 and 1000 by the GCF 8 to simplify the fraction.
= 8/125
0.064 = 8/125
0.064 in its simplest fraction form is 8/125.

So, what is the fraction of 0.064?
It is 64/1000 in fraction. To simplify 64/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 64 by 8 gives 8, and dividing 1000 by 8 gives 125. Thus, 64/1000 simplifies to 8/125

Refer to the step by step work further to learn how to find what is 0.064 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.064

What to be found:
What is 0.064 as a fraction in simplest form?

step 2 Write 0.064 as a simple fraction.
0.064/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.064/1.
Since the decimal 0.064 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.064/1 to make numerator as a whole number.
(0.064 x 1000)/(1 x 1000) = 64/1000

step 4 64 thousandths is the fraction form of 0.064, however, it can be reduced further. To simplify 64/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 64 and 1000 cancel each other.
64/1000 = (8 x 8)/(8 x 125)
= 8/125
64/1000 = 8/125
Hence,
0.064 as a fraction is 8/125.

Converting decimals like 0.064 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.064 to fraction form. In this case, 0.064 can be recognized as 64 thousandths. So, the fraction form of 0.064 is 64/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 64/1000 in its simplest form.