What is 0.488 as a fraction?
0.488 as a fraction is 488/1000 and its simplest form is 61/125.
Learn how to find what is 0.488 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 0.488 in its equivalent fraction form. It is required to recognize the decimal point 0.488 as 488 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.488 as a fraction and how it can be found easily.
Summary: 0.488 in fraction form
0.488 can be recognized as 488 thousandths, which can be represented as 488/1000 in fraction form. The simplest form of 488/1000 is 61/125. Therefore, 0.488 as a fraction is 61/125.
Write 0.488 as a fraction in simplest form.
0.488 = (?)
0.488 = 0.488/1
= (0.488/1) x (1000/1000) //0.488 can be recognized as 488 thousandths.
= 488/1000 //488 thousandths is equal to 488/1000 and it can be simplified further.
= (488/8)/(1000/8) //8 is the GCF of 488 and 1000. Divide both 488 and 1000 by the GCF 8 to simplify the fraction.
= 61/125
0.488 = 61/125
0.488 in its simplest fraction form is 61/125.
So, what is the fraction of 0.488?
It is 488/1000 in fraction. To simplify 488/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 488 by 8 gives 61,
and dividing 1000 by 8 gives 125. Thus, 488/1000 simplifies to 61/125
Refer to the step by step work further to learn how to find what is 0.488 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.488
What to be found:
What is 0.488 as a fraction in simplest form?
step 2 Write 0.488 as a simple fraction.
0.488/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.488/1.
Since the decimal 0.488 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.488/1 to make numerator as a whole number.
(0.488 x 1000)/(1 x 1000) = 488/1000
step 4
488 thousandths is the fraction form of 0.488, however, it can be reduced further. To simplify 488/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 488 and 1000 cancel each other.
488/1000 = (8 x 61)/(8 x 125)
= 61/125
488/1000 = 61/125
Hence,
0.488 as a fraction is 61/125.
Converting decimals like 0.488 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.488 to fraction form. In this case, 0.488 can be recognized as 488 thousandths. So, the fraction form of 0.488 is 488/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 488/1000 in its simplest form.