What is 0.946 as a fraction?
0.946 as a fraction is 946/1000 and its simplest form is 473/500.
Learn how to find what is 0.946 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 0.946 in its equivalent fraction form. It is required to recognize the decimal point 0.946 as 946 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.946 as a fraction and how it can be found easily.
Summary: 0.946 in fraction form
0.946 can be recognized as 946 thousandths, which can be represented as 946/1000 in fraction form. The simplest form of 946/1000 is 473/500. Therefore, 0.946 as a fraction is 473/500.
Write 0.946 as a fraction in simplest form.
0.946 = (?)
0.946 = 0.946/1
= (0.946/1) x (1000/1000) //0.946 can be recognized as 946 thousandths.
= 946/1000 //946 thousandths is equal to 946/1000 and it can be simplified further.
= (946/2)/(1000/2) //2 is the GCF of 946 and 1000. Divide both 946 and 1000 by the GCF 2 to simplify the fraction.
= 473/500
0.946 = 473/500
0.946 in its simplest fraction form is 473/500.
So, what is the fraction of 0.946?
It is 946/1000 in fraction. To simplify 946/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 946 by 2 gives 473,
and dividing 1000 by 2 gives 500. Thus, 946/1000 simplifies to 473/500
Refer to the step by step work further to learn how to find what is 0.946 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.946
What to be found:
What is 0.946 as a fraction in simplest form?
step 2 Write 0.946 as a simple fraction.
0.946/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.946/1.
Since the decimal 0.946 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.946/1 to make numerator as a whole number.
(0.946 x 1000)/(1 x 1000) = 946/1000
step 4
946 thousandths is the fraction form of 0.946, however, it can be reduced further. To simplify 946/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 946 and 1000 cancel each other.
946/1000 = (2 x 473)/(2 x 500)
= 473/500
946/1000 = 473/500
Hence,
0.946 as a fraction is 473/500.
Converting decimals like 0.946 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.946 to fraction form. In this case, 0.946 can be recognized as 946 thousandths. So, the fraction form of 0.946 is 946/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 946/1000 in its simplest form.