What is 0.242 as a fraction?
0.242 as a fraction is 242/1000 and its simplest form is 121/500.
Learn how to find what is 0.242 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 0.242 in its equivalent fraction form. It is required to recognize the decimal point 0.242 as 242 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.242 as a fraction and how it can be found easily.
Summary: 0.242 in fraction form
0.242 can be recognized as 242 thousandths, which can be represented as 242/1000 in fraction form. The simplest form of 242/1000 is 121/500. Therefore, 0.242 as a fraction is 121/500.
Write 0.242 as a fraction in simplest form.
0.242 = (?)
0.242 = 0.242/1
= (0.242/1) x (1000/1000) //0.242 can be recognized as 242 thousandths.
= 242/1000 //242 thousandths is equal to 242/1000 and it can be simplified further.
= (242/2)/(1000/2) //2 is the GCF of 242 and 1000. Divide both 242 and 1000 by the GCF 2 to simplify the fraction.
= 121/500
0.242 = 121/500
0.242 in its simplest fraction form is 121/500.
So, what is the fraction of 0.242?
It is 242/1000 in fraction. To simplify 242/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 242 by 2 gives 121,
and dividing 1000 by 2 gives 500. Thus, 242/1000 simplifies to 121/500
Refer to the step by step work further to learn how to find what is 0.242 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.242
What to be found:
What is 0.242 as a fraction in simplest form?
step 2 Write 0.242 as a simple fraction.
0.242/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.242/1.
Since the decimal 0.242 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.242/1 to make numerator as a whole number.
(0.242 x 1000)/(1 x 1000) = 242/1000
step 4
242 thousandths is the fraction form of 0.242, however, it can be reduced further. To simplify 242/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 242 and 1000 cancel each other.
242/1000 = (2 x 121)/(2 x 500)
= 121/500
242/1000 = 121/500
Hence,
0.242 as a fraction is 121/500.
Converting decimals like 0.242 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.242 to fraction form. In this case, 0.242 can be recognized as 242 thousandths. So, the fraction form of 0.242 is 242/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 242/1000 in its simplest form.