What is 0.238 as a fraction?
0.238 as a fraction is 238/1000 and its simplest form is 119/500.
Learn how to find what is 0.238 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 0.238 in its equivalent fraction form. It is required to recognize the decimal point 0.238 as 238 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.238 as a fraction and how it can be found easily.
Summary: 0.238 in fraction form
0.238 can be recognized as 238 thousandths, which can be represented as 238/1000 in fraction form. The simplest form of 238/1000 is 119/500. Therefore, 0.238 as a fraction is 119/500.
Write 0.238 as a fraction in simplest form.
0.238 = (?)
0.238 = 0.238/1
= (0.238/1) x (1000/1000) //0.238 can be recognized as 238 thousandths.
= 238/1000 //238 thousandths is equal to 238/1000 and it can be simplified further.
= (238/2)/(1000/2) //2 is the GCF of 238 and 1000. Divide both 238 and 1000 by the GCF 2 to simplify the fraction.
= 119/500
0.238 = 119/500
0.238 in its simplest fraction form is 119/500.
So, what is the fraction of 0.238?
It is 238/1000 in fraction. To simplify 238/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 238 by 2 gives 119,
and dividing 1000 by 2 gives 500. Thus, 238/1000 simplifies to 119/500
Refer to the step by step work further to learn how to find what is 0.238 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.238
What to be found:
What is 0.238 as a fraction in simplest form?
step 2 Write 0.238 as a simple fraction.
0.238/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.238/1.
Since the decimal 0.238 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.238/1 to make numerator as a whole number.
(0.238 x 1000)/(1 x 1000) = 238/1000
step 4
238 thousandths is the fraction form of 0.238, however, it can be reduced further. To simplify 238/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 238 and 1000 cancel each other.
238/1000 = (2 x 119)/(2 x 500)
= 119/500
238/1000 = 119/500
Hence,
0.238 as a fraction is 119/500.
Converting decimals like 0.238 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.238 to fraction form. In this case, 0.238 can be recognized as 238 thousandths. So, the fraction form of 0.238 is 238/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 238/1000 in its simplest form.