What is 0.474 as a fraction?
0.474 as a fraction is 474/1000 and its simplest form is 237/500.
Learn how to find what is 0.474 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 0.474 in its equivalent fraction form. It is required to recognize the decimal point 0.474 as 474 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.474 as a fraction and how it can be found easily.
Summary: 0.474 in fraction form
0.474 can be recognized as 474 thousandths, which can be represented as 474/1000 in fraction form. The simplest form of 474/1000 is 237/500. Therefore, 0.474 as a fraction is 237/500.
Write 0.474 as a fraction in simplest form.
0.474 = (?)
0.474 = 0.474/1
= (0.474/1) x (1000/1000) //0.474 can be recognized as 474 thousandths.
= 474/1000 //474 thousandths is equal to 474/1000 and it can be simplified further.
= (474/2)/(1000/2) //2 is the GCF of 474 and 1000. Divide both 474 and 1000 by the GCF 2 to simplify the fraction.
= 237/500
0.474 = 237/500
0.474 in its simplest fraction form is 237/500.
So, what is the fraction of 0.474?
It is 474/1000 in fraction. To simplify 474/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 474 by 2 gives 237,
and dividing 1000 by 2 gives 500. Thus, 474/1000 simplifies to 237/500
Refer to the step by step work further to learn how to find what is 0.474 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.474
What to be found:
What is 0.474 as a fraction in simplest form?
step 2 Write 0.474 as a simple fraction.
0.474/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.474/1.
Since the decimal 0.474 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.474/1 to make numerator as a whole number.
(0.474 x 1000)/(1 x 1000) = 474/1000
step 4
474 thousandths is the fraction form of 0.474, however, it can be reduced further. To simplify 474/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 474 and 1000 cancel each other.
474/1000 = (2 x 237)/(2 x 500)
= 237/500
474/1000 = 237/500
Hence,
0.474 as a fraction is 237/500.
Converting decimals like 0.474 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.474 to fraction form. In this case, 0.474 can be recognized as 474 thousandths. So, the fraction form of 0.474 is 474/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 474/1000 in its simplest form.