What is 0.464 as a fraction?
0.464 as a fraction is 464/1000 and its simplest form is 58/125.
Learn how to find what is 0.464 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 0.464 in its equivalent fraction form. It is required to recognize the decimal point 0.464 as 464 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.464 as a fraction and how it can be found easily.
Summary: 0.464 in fraction form
0.464 can be recognized as 464 thousandths, which can be represented as 464/1000 in fraction form. The simplest form of 464/1000 is 58/125. Therefore, 0.464 as a fraction is 58/125.
Write 0.464 as a fraction in simplest form.
0.464 = (?)
0.464 = 0.464/1
= (0.464/1) x (1000/1000) //0.464 can be recognized as 464 thousandths.
= 464/1000 //464 thousandths is equal to 464/1000 and it can be simplified further.
= (464/8)/(1000/8) //8 is the GCF of 464 and 1000. Divide both 464 and 1000 by the GCF 8 to simplify the fraction.
= 58/125
0.464 = 58/125
0.464 in its simplest fraction form is 58/125.
So, what is the fraction of 0.464?
It is 464/1000 in fraction. To simplify 464/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 464 by 8 gives 58,
and dividing 1000 by 8 gives 125. Thus, 464/1000 simplifies to 58/125
Refer to the step by step work further to learn how to find what is 0.464 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.464
What to be found:
What is 0.464 as a fraction in simplest form?
step 2 Write 0.464 as a simple fraction.
0.464/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.464/1.
Since the decimal 0.464 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.464/1 to make numerator as a whole number.
(0.464 x 1000)/(1 x 1000) = 464/1000
step 4
464 thousandths is the fraction form of 0.464, however, it can be reduced further. To simplify 464/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 464 and 1000 cancel each other.
464/1000 = (8 x 58)/(8 x 125)
= 58/125
464/1000 = 58/125
Hence,
0.464 as a fraction is 58/125.
Converting decimals like 0.464 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.464 to fraction form. In this case, 0.464 can be recognized as 464 thousandths. So, the fraction form of 0.464 is 464/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 464/1000 in its simplest form.