What is 0.608 as a fraction?
0.608 as a fraction is 608/1000 and its simplest form is 76/125.
Learn how to find what is 0.608 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 0.608 in its equivalent fraction form. It is required to recognize the decimal point 0.608 as 608 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.608 as a fraction and how it can be found easily.
Summary: 0.608 in fraction form
0.608 can be recognized as 608 thousandths, which can be represented as 608/1000 in fraction form. The simplest form of 608/1000 is 76/125. Therefore, 0.608 as a fraction is 76/125.
Write 0.608 as a fraction in simplest form.
0.608 = (?)
0.608 = 0.608/1
= (0.608/1) x (1000/1000) //0.608 can be recognized as 608 thousandths.
= 608/1000 //608 thousandths is equal to 608/1000 and it can be simplified further.
= (608/8)/(1000/8) //8 is the GCF of 608 and 1000. Divide both 608 and 1000 by the GCF 8 to simplify the fraction.
= 76/125
0.608 = 76/125
0.608 in its simplest fraction form is 76/125.
So, what is the fraction of 0.608?
It is 608/1000 in fraction. To simplify 608/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 608 by 8 gives 76,
and dividing 1000 by 8 gives 125. Thus, 608/1000 simplifies to 76/125
Refer to the step by step work further to learn how to find what is 0.608 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.608
What to be found:
What is 0.608 as a fraction in simplest form?
step 2 Write 0.608 as a simple fraction.
0.608/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.608/1.
Since the decimal 0.608 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.608/1 to make numerator as a whole number.
(0.608 x 1000)/(1 x 1000) = 608/1000
step 4
608 thousandths is the fraction form of 0.608, however, it can be reduced further. To simplify 608/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 608 and 1000 cancel each other.
608/1000 = (8 x 76)/(8 x 125)
= 76/125
608/1000 = 76/125
Hence,
0.608 as a fraction is 76/125.
Converting decimals like 0.608 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.608 to fraction form. In this case, 0.608 can be recognized as 608 thousandths. So, the fraction form of 0.608 is 608/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 608/1000 in its simplest form.