What is 0.468 as a fraction?
0.468 as a fraction is 468/1000 and its simplest form is 117/250.
Learn how to find what is 0.468 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 0.468 in its equivalent fraction form. It is required to recognize the decimal point 0.468 as 468 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.468 as a fraction and how it can be found easily.
Summary: 0.468 in fraction form
0.468 can be recognized as 468 thousandths, which can be represented as 468/1000 in fraction form. The simplest form of 468/1000 is 117/250. Therefore, 0.468 as a fraction is 117/250.
Write 0.468 as a fraction in simplest form.
0.468 = (?)
0.468 = 0.468/1
= (0.468/1) x (1000/1000) //0.468 can be recognized as 468 thousandths.
= 468/1000 //468 thousandths is equal to 468/1000 and it can be simplified further.
= (468/4)/(1000/4) //4 is the GCF of 468 and 1000. Divide both 468 and 1000 by the GCF 4 to simplify the fraction.
= 117/250
0.468 = 117/250
0.468 in its simplest fraction form is 117/250.
So, what is the fraction of 0.468?
It is 468/1000 in fraction. To simplify 468/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 468 by 4 gives 117,
and dividing 1000 by 4 gives 250. Thus, 468/1000 simplifies to 117/250
Refer to the step by step work further to learn how to find what is 0.468 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.468
What to be found:
What is 0.468 as a fraction in simplest form?
step 2 Write 0.468 as a simple fraction.
0.468/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.468/1.
Since the decimal 0.468 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.468/1 to make numerator as a whole number.
(0.468 x 1000)/(1 x 1000) = 468/1000
step 4
468 thousandths is the fraction form of 0.468, however, it can be reduced further. To simplify 468/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 468 and 1000 cancel each other.
468/1000 = (4 x 117)/(4 x 250)
= 117/250
468/1000 = 117/250
Hence,
0.468 as a fraction is 117/250.
Converting decimals like 0.468 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.468 to fraction form. In this case, 0.468 can be recognized as 468 thousandths. So, the fraction form of 0.468 is 468/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 468/1000 in its simplest form.