What is 0.046 as a fraction?
0.046 as a fraction is 46/1000 and its simplest form is 23/500.
Learn how to find what is 0.046 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 0.046 in its equivalent fraction form. It is required to recognize the decimal point 0.046 as 46 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.046 as a fraction and how it can be found easily.
Summary: 0.046 in fraction form
0.046 can be recognized as 46 thousandths, which can be represented as 46/1000 in fraction form. The simplest form of 46/1000 is 23/500. Therefore, 0.046 as a fraction is 23/500.
Write 0.046 as a fraction in simplest form.
0.046 = (?)
0.046 = 0.046/1
= (0.046/1) x (1000/1000) //0.046 can be recognized as 46 thousandths.
= 46/1000 //46 thousandths is equal to 46/1000 and it can be simplified further.
= (46/2)/(1000/2) //2 is the GCF of 46 and 1000. Divide both 46 and 1000 by the GCF 2 to simplify the fraction.
= 23/500
0.046 = 23/500
0.046 in its simplest fraction form is 23/500.
So, what is the fraction of 0.046?
It is 46/1000 in fraction. To simplify 46/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 46 by 2 gives 23,
and dividing 1000 by 2 gives 500. Thus, 46/1000 simplifies to 23/500
Refer to the step by step work further to learn how to find what is 0.046 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.046
What to be found:
What is 0.046 as a fraction in simplest form?
step 2 Write 0.046 as a simple fraction.
0.046/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.046/1.
Since the decimal 0.046 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.046/1 to make numerator as a whole number.
(0.046 x 1000)/(1 x 1000) = 46/1000
step 4
46 thousandths is the fraction form of 0.046, however, it can be reduced further. To simplify 46/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 46 and 1000 cancel each other.
46/1000 = (2 x 23)/(2 x 500)
= 23/500
46/1000 = 23/500
Hence,
0.046 as a fraction is 23/500.
Converting decimals like 0.046 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.046 to fraction form. In this case, 0.046 can be recognized as 46 thousandths. So, the fraction form of 0.046 is 46/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 46/1000 in its simplest form.