What is 0.648 as a fraction?
0.648 as a fraction is 648/1000 and its simplest form is 81/125.
Learn how to find what is 0.648 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 0.648 in its equivalent fraction form. It is required to recognize the decimal point 0.648 as 648 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.648 as a fraction and how it can be found easily.
Summary: 0.648 in fraction form
0.648 can be recognized as 648 thousandths, which can be represented as 648/1000 in fraction form. The simplest form of 648/1000 is 81/125. Therefore, 0.648 as a fraction is 81/125.
Write 0.648 as a fraction in simplest form.
0.648 = (?)
0.648 = 0.648/1
= (0.648/1) x (1000/1000) //0.648 can be recognized as 648 thousandths.
= 648/1000 //648 thousandths is equal to 648/1000 and it can be simplified further.
= (648/8)/(1000/8) //8 is the GCF of 648 and 1000. Divide both 648 and 1000 by the GCF 8 to simplify the fraction.
= 81/125
0.648 = 81/125
0.648 in its simplest fraction form is 81/125.
So, what is the fraction of 0.648?
It is 648/1000 in fraction. To simplify 648/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 648 by 8 gives 81,
and dividing 1000 by 8 gives 125. Thus, 648/1000 simplifies to 81/125
Refer to the step by step work further to learn how to find what is 0.648 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.648
What to be found:
What is 0.648 as a fraction in simplest form?
step 2 Write 0.648 as a simple fraction.
0.648/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.648/1.
Since the decimal 0.648 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.648/1 to make numerator as a whole number.
(0.648 x 1000)/(1 x 1000) = 648/1000
step 4
648 thousandths is the fraction form of 0.648, however, it can be reduced further. To simplify 648/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 648 and 1000 cancel each other.
648/1000 = (8 x 81)/(8 x 125)
= 81/125
648/1000 = 81/125
Hence,
0.648 as a fraction is 81/125.
Converting decimals like 0.648 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.648 to fraction form. In this case, 0.648 can be recognized as 648 thousandths. So, the fraction form of 0.648 is 648/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 648/1000 in its simplest form.