What is 0.496 as a fraction?
0.496 as a fraction is 496/1000 and its simplest form is 62/125.
Learn how to find what is 0.496 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 0.496 in its equivalent fraction form. It is required to recognize the decimal point 0.496 as 496 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.496 as a fraction and how it can be found easily.
Summary: 0.496 in fraction form
0.496 can be recognized as 496 thousandths, which can be represented as 496/1000 in fraction form. The simplest form of 496/1000 is 62/125. Therefore, 0.496 as a fraction is 62/125.
Write 0.496 as a fraction in simplest form.
0.496 = (?)
0.496 = 0.496/1
= (0.496/1) x (1000/1000) //0.496 can be recognized as 496 thousandths.
= 496/1000 //496 thousandths is equal to 496/1000 and it can be simplified further.
= (496/8)/(1000/8) //8 is the GCF of 496 and 1000. Divide both 496 and 1000 by the GCF 8 to simplify the fraction.
= 62/125
0.496 = 62/125
0.496 in its simplest fraction form is 62/125.
So, what is the fraction of 0.496?
It is 496/1000 in fraction. To simplify 496/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 496 by 8 gives 62,
and dividing 1000 by 8 gives 125. Thus, 496/1000 simplifies to 62/125
Refer to the step by step work further to learn how to find what is 0.496 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.496
What to be found:
What is 0.496 as a fraction in simplest form?
step 2 Write 0.496 as a simple fraction.
0.496/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.496/1.
Since the decimal 0.496 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.496/1 to make numerator as a whole number.
(0.496 x 1000)/(1 x 1000) = 496/1000
step 4
496 thousandths is the fraction form of 0.496, however, it can be reduced further. To simplify 496/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 496 and 1000 cancel each other.
496/1000 = (8 x 62)/(8 x 125)
= 62/125
496/1000 = 62/125
Hence,
0.496 as a fraction is 62/125.
Converting decimals like 0.496 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.496 to fraction form. In this case, 0.496 can be recognized as 496 thousandths. So, the fraction form of 0.496 is 496/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 496/1000 in its simplest form.