What is 0.476 as a fraction?
0.476 as a fraction is 476/1000 and its simplest form is 119/250.
Learn how to find what is 0.476 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 0.476 in its equivalent fraction form. It is required to recognize the decimal point 0.476 as 476 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.476 as a fraction and how it can be found easily.
Summary: 0.476 in fraction form
0.476 can be recognized as 476 thousandths, which can be represented as 476/1000 in fraction form. The simplest form of 476/1000 is 119/250. Therefore, 0.476 as a fraction is 119/250.
Write 0.476 as a fraction in simplest form.
0.476 = (?)
0.476 = 0.476/1
= (0.476/1) x (1000/1000) //0.476 can be recognized as 476 thousandths.
= 476/1000 //476 thousandths is equal to 476/1000 and it can be simplified further.
= (476/4)/(1000/4) //4 is the GCF of 476 and 1000. Divide both 476 and 1000 by the GCF 4 to simplify the fraction.
= 119/250
0.476 = 119/250
0.476 in its simplest fraction form is 119/250.
So, what is the fraction of 0.476?
It is 476/1000 in fraction. To simplify 476/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 476 by 4 gives 119,
and dividing 1000 by 4 gives 250. Thus, 476/1000 simplifies to 119/250
Refer to the step by step work further to learn how to find what is 0.476 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.476
What to be found:
What is 0.476 as a fraction in simplest form?
step 2 Write 0.476 as a simple fraction.
0.476/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.476/1.
Since the decimal 0.476 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.476/1 to make numerator as a whole number.
(0.476 x 1000)/(1 x 1000) = 476/1000
step 4
476 thousandths is the fraction form of 0.476, however, it can be reduced further. To simplify 476/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 476 and 1000 cancel each other.
476/1000 = (4 x 119)/(4 x 250)
= 119/250
476/1000 = 119/250
Hence,
0.476 as a fraction is 119/250.
Converting decimals like 0.476 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.476 to fraction form. In this case, 0.476 can be recognized as 476 thousandths. So, the fraction form of 0.476 is 476/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 476/1000 in its simplest form.