0.045 as a Fraction in Simplest Form

Learn how to find what is 0.045 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 0.045 in its equivalent fraction form. It is required to recognize the decimal point 0.045 as 45 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.045 as a fraction and how it can be found easily.

Summary: 0.045 in fraction form
0.045 can be recognized as 45 thousandths, which can be represented as 45/1000 in fraction form. The simplest form of 45/1000 is 9/200. Therefore, 0.045 as a fraction is 9/200.

Write 0.045 as a fraction in simplest form.
0.045 = (?)
0.045 = 0.045/1
= (0.045/1) x (1000/1000)      //0.045 can be recognized as 45 thousandths.
= 45/1000      //45 thousandths is equal to 45/1000 and it can be simplified further.
= (45/5)/(1000/5)       //5 is the GCF of 45 and 1000. Divide both 45 and 1000 by the GCF 5 to simplify the fraction.
= 9/200
0.045 = 9/200
0.045 in its simplest fraction form is 9/200.

So, what is the fraction of 0.045?
It is 45/1000 in fraction. To simplify 45/1000, 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 1000 by 5 gives 200. Thus, 45/1000 simplifies to 9/200

Refer to the step by step work further to learn how to find what is 0.045 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.045

What to be found:
What is 0.045 as a fraction in simplest form?

step 2 Write 0.045 as a simple fraction.
0.045/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.045/1.
Since the decimal 0.045 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.045/1 to make numerator as a whole number.
(0.045 x 1000)/(1 x 1000) = 45/1000

step 4 45 thousandths is the fraction form of 0.045, however, it can be reduced further. To simplify 45/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 45 and 1000 cancel each other.
45/1000 = (5 x 9)/(5 x 200)
= 9/200
45/1000 = 9/200
Hence,
0.045 as a fraction is 9/200.

Converting decimals like 0.045 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.045 to fraction form. In this case, 0.045 can be recognized as 45 thousandths. So, the fraction form of 0.045 is 45/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 45/1000 in its simplest form.