What is 0.408 as a fraction?
0.408 as a fraction is 408/1000 and its simplest form is 51/125.
Learn how to find what is 0.408 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 0.408 in its equivalent fraction form. It is required to recognize the decimal point 0.408 as 408 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.408 as a fraction and how it can be found easily.
Summary: 0.408 in fraction form
0.408 can be recognized as 408 thousandths, which can be represented as 408/1000 in fraction form. The simplest form of 408/1000 is 51/125. Therefore, 0.408 as a fraction is 51/125.
Write 0.408 as a fraction in simplest form.
0.408 = (?)
0.408 = 0.408/1
= (0.408/1) x (1000/1000) //0.408 can be recognized as 408 thousandths.
= 408/1000 //408 thousandths is equal to 408/1000 and it can be simplified further.
= (408/8)/(1000/8) //8 is the GCF of 408 and 1000. Divide both 408 and 1000 by the GCF 8 to simplify the fraction.
= 51/125
0.408 = 51/125
0.408 in its simplest fraction form is 51/125.
So, what is the fraction of 0.408?
It is 408/1000 in fraction. To simplify 408/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 408 by 8 gives 51,
and dividing 1000 by 8 gives 125. Thus, 408/1000 simplifies to 51/125
Refer to the step by step work further to learn how to find what is 0.408 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.408
What to be found:
What is 0.408 as a fraction in simplest form?
step 2 Write 0.408 as a simple fraction.
0.408/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.408/1.
Since the decimal 0.408 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.408/1 to make numerator as a whole number.
(0.408 x 1000)/(1 x 1000) = 408/1000
step 4
408 thousandths is the fraction form of 0.408, however, it can be reduced further. To simplify 408/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 408 and 1000 cancel each other.
408/1000 = (8 x 51)/(8 x 125)
= 51/125
408/1000 = 51/125
Hence,
0.408 as a fraction is 51/125.
Converting decimals like 0.408 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.408 to fraction form. In this case, 0.408 can be recognized as 408 thousandths. So, the fraction form of 0.408 is 408/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 408/1000 in its simplest form.