0.0004 as a Fraction in Simplest Form

Learn how to find what is 0.0004 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 0.0004 in its equivalent fraction form. It is required to recognize the decimal point 0.0004 as 4 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0004 as a fraction and how it can be found easily.

Summary: 0.0004 in fraction form
0.0004 can be recognized as 4 ten-thousandths, which can be represented as 4/10000 in fraction form. The simplest form of 4/10000 is 1/2500. Therefore, 0.0004 as a fraction is 1/2500.

Write 0.0004 as a fraction in simplest form.
0.0004 = (?)
0.0004 = 0.0004/1
= (0.0004/1) x (10000/10000)      //0.0004 can be recognized as 4 ten-thousandths.
= 4/10000      //4 ten-thousandths is equal to 4/10000 and it can be simplified further.
= (4/4)/(10000/4)       //4 is the GCF of 4 and 10000. Divide both 4 and 10000 by the GCF 4 to simplify the fraction.
= 1/2500
0.0004 = 1/2500
0.0004 in its simplest fraction form is 1/2500.

So, what is the fraction of 0.0004?
It is 4/10000 in fraction. To simplify 4/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 4 by 4 gives 1, and dividing 10000 by 4 gives 2500. Thus, 4/10000 simplifies to 1/2500

Refer to the step by step work further to learn how to find what is 0.0004 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0004

What to be found:
What is 0.0004 as a fraction in simplest form?

step 2 Write 0.0004 as a simple fraction.
0.0004/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0004/1.
Since the decimal 0.0004 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0004/1 to make numerator as a whole number.
(0.0004 x 10000)/(1 x 10000) = 4/10000

step 4 4 ten-thousandths is the fraction form of 0.0004, however, it can be reduced further. To simplify 4/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 4 and 10000 cancel each other.
4/10000 = (4 x 1)/(4 x 2500)
= 1/2500
4/10000 = 1/2500
Hence,
0.0004 as a fraction is 1/2500.

Converting decimals like 0.0004 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0004 to fraction form. In this case, 0.0004 can be recognized as 4 ten-thousandths. So, the fraction form of 0.0004 is 4/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 4/10000 in its simplest form.