0.335 as a Fraction in Simplest Form

Learn how to find what is 0.335 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 0.335 in its equivalent fraction form. It is required to recognize the decimal point 0.335 as 335 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.335 as a fraction and how it can be found easily.

Summary: 0.335 in fraction form
0.335 can be recognized as 335 thousandths, which can be represented as 335/1000 in fraction form. The simplest form of 335/1000 is 67/200. Therefore, 0.335 as a fraction is 67/200.

Write 0.335 as a fraction in simplest form.
0.335 = (?)
0.335 = 0.335/1
= (0.335/1) x (1000/1000)      //0.335 can be recognized as 335 thousandths.
= 335/1000      //335 thousandths is equal to 335/1000 and it can be simplified further.
= (335/5)/(1000/5)       //5 is the GCF of 335 and 1000. Divide both 335 and 1000 by the GCF 5 to simplify the fraction.
= 67/200
0.335 = 67/200
0.335 in its simplest fraction form is 67/200.

So, what is the fraction of 0.335?
It is 335/1000 in fraction. To simplify 335/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 335 by 5 gives 67, and dividing 1000 by 5 gives 200. Thus, 335/1000 simplifies to 67/200

Refer to the step by step work further to learn how to find what is 0.335 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.335

What to be found:
What is 0.335 as a fraction in simplest form?

step 2 Write 0.335 as a simple fraction.
0.335/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.335/1.
Since the decimal 0.335 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.335/1 to make numerator as a whole number.
(0.335 x 1000)/(1 x 1000) = 335/1000

step 4 335 thousandths is the fraction form of 0.335, however, it can be reduced further. To simplify 335/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 335 and 1000 cancel each other.
335/1000 = (5 x 67)/(5 x 200)
= 67/200
335/1000 = 67/200
Hence,
0.335 as a fraction is 67/200.

Converting decimals like 0.335 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.335 to fraction form. In this case, 0.335 can be recognized as 335 thousandths. So, the fraction form of 0.335 is 335/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 335/1000 in its simplest form.