0.065 as a Fraction in Simplest Form

Learn how to find what is 0.065 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 0.065 in its equivalent fraction form. It is required to recognize the decimal point 0.065 as 65 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.065 as a fraction and how it can be found easily.

Summary: 0.065 in fraction form
0.065 can be recognized as 65 thousandths, which can be represented as 65/1000 in fraction form. The simplest form of 65/1000 is 13/200. Therefore, 0.065 as a fraction is 13/200.

Write 0.065 as a fraction in simplest form.
0.065 = (?)
0.065 = 0.065/1
= (0.065/1) x (1000/1000)      //0.065 can be recognized as 65 thousandths.
= 65/1000      //65 thousandths is equal to 65/1000 and it can be simplified further.
= (65/5)/(1000/5)       //5 is the GCF of 65 and 1000. Divide both 65 and 1000 by the GCF 5 to simplify the fraction.
= 13/200
0.065 = 13/200
0.065 in its simplest fraction form is 13/200.

So, what is the fraction of 0.065?
It is 65/1000 in fraction. To simplify 65/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 65 by 5 gives 13, and dividing 1000 by 5 gives 200. Thus, 65/1000 simplifies to 13/200

Refer to the step by step work further to learn how to find what is 0.065 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.065

What to be found:
What is 0.065 as a fraction in simplest form?

step 2 Write 0.065 as a simple fraction.
0.065/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.065/1.
Since the decimal 0.065 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.065/1 to make numerator as a whole number.
(0.065 x 1000)/(1 x 1000) = 65/1000

step 4 65 thousandths is the fraction form of 0.065, however, it can be reduced further. To simplify 65/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 65 and 1000 cancel each other.
65/1000 = (5 x 13)/(5 x 200)
= 13/200
65/1000 = 13/200
Hence,
0.065 as a fraction is 13/200.

Converting decimals like 0.065 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.065 to fraction form. In this case, 0.065 can be recognized as 65 thousandths. So, the fraction form of 0.065 is 65/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 65/1000 in its simplest form.