0.604 as a Fraction in Simplest Form

Learn how to find what is 0.604 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 0.604 in its equivalent fraction form. It is required to recognize the decimal point 0.604 as 604 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.604 as a fraction and how it can be found easily.

Summary: 0.604 in fraction form
0.604 can be recognized as 604 thousandths, which can be represented as 604/1000 in fraction form. The simplest form of 604/1000 is 151/250. Therefore, 0.604 as a fraction is 151/250.

Write 0.604 as a fraction in simplest form.
0.604 = (?)
0.604 = 0.604/1
= (0.604/1) x (1000/1000)      //0.604 can be recognized as 604 thousandths.
= 604/1000      //604 thousandths is equal to 604/1000 and it can be simplified further.
= (604/4)/(1000/4)       //4 is the GCF of 604 and 1000. Divide both 604 and 1000 by the GCF 4 to simplify the fraction.
= 151/250
0.604 = 151/250
0.604 in its simplest fraction form is 151/250.

So, what is the fraction of 0.604?
It is 604/1000 in fraction. To simplify 604/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 604 by 4 gives 151, and dividing 1000 by 4 gives 250. Thus, 604/1000 simplifies to 151/250

Refer to the step by step work further to learn how to find what is 0.604 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.604

What to be found:
What is 0.604 as a fraction in simplest form?

step 2 Write 0.604 as a simple fraction.
0.604/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.604/1.
Since the decimal 0.604 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.604/1 to make numerator as a whole number.
(0.604 x 1000)/(1 x 1000) = 604/1000

step 4 604 thousandths is the fraction form of 0.604, however, it can be reduced further. To simplify 604/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 604 and 1000 cancel each other.
604/1000 = (4 x 151)/(4 x 250)
= 151/250
604/1000 = 151/250
Hence,
0.604 as a fraction is 151/250.

Converting decimals like 0.604 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.604 to fraction form. In this case, 0.604 can be recognized as 604 thousandths. So, the fraction form of 0.604 is 604/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 604/1000 in its simplest form.