What is 0.384 as a fraction?
0.384 as a fraction is 384/1000 and its simplest form is 48/125.
Learn how to find what is 0.384 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 0.384 in its equivalent fraction form. It is required to recognize the decimal point 0.384 as 384 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.384 as a fraction and how it can be found easily.
Summary: 0.384 in fraction form
0.384 can be recognized as 384 thousandths, which can be represented as 384/1000 in fraction form. The simplest form of 384/1000 is 48/125. Therefore, 0.384 as a fraction is 48/125.
Write 0.384 as a fraction in simplest form.
0.384 = (?)
0.384 = 0.384/1
= (0.384/1) x (1000/1000) //0.384 can be recognized as 384 thousandths.
= 384/1000 //384 thousandths is equal to 384/1000 and it can be simplified further.
= (384/8)/(1000/8) //8 is the GCF of 384 and 1000. Divide both 384 and 1000 by the GCF 8 to simplify the fraction.
= 48/125
0.384 = 48/125
0.384 in its simplest fraction form is 48/125.
So, what is the fraction of 0.384?
It is 384/1000 in fraction. To simplify 384/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 384 by 8 gives 48,
and dividing 1000 by 8 gives 125. Thus, 384/1000 simplifies to 48/125
Refer to the step by step work further to learn how to find what is 0.384 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.384
What to be found:
What is 0.384 as a fraction in simplest form?
step 2 Write 0.384 as a simple fraction.
0.384/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.384/1.
Since the decimal 0.384 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.384/1 to make numerator as a whole number.
(0.384 x 1000)/(1 x 1000) = 384/1000
step 4
384 thousandths is the fraction form of 0.384, however, it can be reduced further. To simplify 384/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 384 and 1000 cancel each other.
384/1000 = (8 x 48)/(8 x 125)
= 48/125
384/1000 = 48/125
Hence,
0.384 as a fraction is 48/125.
Converting decimals like 0.384 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.384 to fraction form. In this case, 0.384 can be recognized as 384 thousandths. So, the fraction form of 0.384 is 384/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 384/1000 in its simplest form.