What is 0.475 as a fraction?
0.475 as a fraction is 475/1000 and its simplest form is 19/40.
Learn how to find what is 0.475 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 0.475 in its equivalent fraction form. It is required to recognize the decimal point 0.475 as 475 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.475 as a fraction and how it can be found easily.
Summary: 0.475 in fraction form
0.475 can be recognized as 475 thousandths, which can be represented as 475/1000 in fraction form. The simplest form of 475/1000 is 19/40. Therefore, 0.475 as a fraction is 19/40.
Write 0.475 as a fraction in simplest form.
0.475 = (?)
0.475 = 0.475/1
= (0.475/1) x (1000/1000) //0.475 can be recognized as 475 thousandths.
= 475/1000 //475 thousandths is equal to 475/1000 and it can be simplified further.
= (475/25)/(1000/25) //25 is the GCF of 475 and 1000. Divide both 475 and 1000 by the GCF 25 to simplify the fraction.
= 19/40
0.475 = 19/40
0.475 in its simplest fraction form is 19/40.
So, what is the fraction of 0.475?
It is 475/1000 in fraction. To simplify 475/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 475 by 25 gives 19,
and dividing 1000 by 25 gives 40. Thus, 475/1000 simplifies to 19/40
Refer to the step by step work further to learn how to find what is 0.475 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.475
What to be found:
What is 0.475 as a fraction in simplest form?
step 2 Write 0.475 as a simple fraction.
0.475/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.475/1.
Since the decimal 0.475 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.475/1 to make numerator as a whole number.
(0.475 x 1000)/(1 x 1000) = 475/1000
step 4
475 thousandths is the fraction form of 0.475, however, it can be reduced further. To simplify 475/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 475 and 1000 cancel each other.
475/1000 = (25 x 19)/(25 x 40)
= 19/40
475/1000 = 19/40
Hence,
0.475 as a fraction is 19/40.
Converting decimals like 0.475 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.475 to fraction form. In this case, 0.475 can be recognized as 475 thousandths. So, the fraction form of 0.475 is 475/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 475/1000 in its simplest form.