0.0045 as a Fraction in Simplest Form

Learn how to find what is 0.0045 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 0.0045 in its equivalent fraction form. It is required to recognize the decimal point 0.0045 as 45 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0045 as a fraction and how it can be found easily.

Summary: 0.0045 in fraction form
0.0045 can be recognized as 45 ten-thousandths, which can be represented as 45/10000 in fraction form. The simplest form of 45/10000 is 9/2000. Therefore, 0.0045 as a fraction is 9/2000.

Write 0.0045 as a fraction in simplest form.
0.0045 = (?)
0.0045 = 0.0045/1
= (0.0045/1) x (10000/10000)      //0.0045 can be recognized as 45 ten-thousandths.
= 45/10000      //45 ten-thousandths is equal to 45/10000 and it can be simplified further.
= (45/5)/(10000/5)       //5 is the GCF of 45 and 10000. Divide both 45 and 10000 by the GCF 5 to simplify the fraction.
= 9/2000
0.0045 = 9/2000
0.0045 in its simplest fraction form is 9/2000.

So, what is the fraction of 0.0045?
It is 45/10000 in fraction. To simplify 45/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 45 by 5 gives 9, and dividing 10000 by 5 gives 2000. Thus, 45/10000 simplifies to 9/2000

Refer to the step by step work further to learn how to find what is 0.0045 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0045

What to be found:
What is 0.0045 as a fraction in simplest form?

step 2 Write 0.0045 as a simple fraction.
0.0045/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0045/1.
Since the decimal 0.0045 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0045/1 to make numerator as a whole number.
(0.0045 x 10000)/(1 x 10000) = 45/10000

step 4 45 ten-thousandths is the fraction form of 0.0045, however, it can be reduced further. To simplify 45/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 45 and 10000 cancel each other.
45/10000 = (5 x 9)/(5 x 2000)
= 9/2000
45/10000 = 9/2000
Hence,
0.0045 as a fraction is 9/2000.

Converting decimals like 0.0045 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0045 to fraction form. In this case, 0.0045 can be recognized as 45 ten-thousandths. So, the fraction form of 0.0045 is 45/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 45/10000 in its simplest form.