0.248 as a Fraction in Simplest Form

Learn how to find what is 0.248 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 0.248 in its equivalent fraction form. It is required to recognize the decimal point 0.248 as 248 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.248 as a fraction and how it can be found easily.

Summary: 0.248 in fraction form
0.248 can be recognized as 248 thousandths, which can be represented as 248/1000 in fraction form. The simplest form of 248/1000 is 31/125. Therefore, 0.248 as a fraction is 31/125.

Write 0.248 as a fraction in simplest form.
0.248 = (?)
0.248 = 0.248/1
= (0.248/1) x (1000/1000)      //0.248 can be recognized as 248 thousandths.
= 248/1000      //248 thousandths is equal to 248/1000 and it can be simplified further.
= (248/8)/(1000/8)       //8 is the GCF of 248 and 1000. Divide both 248 and 1000 by the GCF 8 to simplify the fraction.
= 31/125
0.248 = 31/125
0.248 in its simplest fraction form is 31/125.

So, what is the fraction of 0.248?
It is 248/1000 in fraction. To simplify 248/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 248 by 8 gives 31, and dividing 1000 by 8 gives 125. Thus, 248/1000 simplifies to 31/125

Refer to the step by step work further to learn how to find what is 0.248 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.248

What to be found:
What is 0.248 as a fraction in simplest form?

step 2 Write 0.248 as a simple fraction.
0.248/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.248/1.
Since the decimal 0.248 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.248/1 to make numerator as a whole number.
(0.248 x 1000)/(1 x 1000) = 248/1000

step 4 248 thousandths is the fraction form of 0.248, however, it can be reduced further. To simplify 248/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 248 and 1000 cancel each other.
248/1000 = (8 x 31)/(8 x 125)
= 31/125
248/1000 = 31/125
Hence,
0.248 as a fraction is 31/125.

Converting decimals like 0.248 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.248 to fraction form. In this case, 0.248 can be recognized as 248 thousandths. So, the fraction form of 0.248 is 248/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 248/1000 in its simplest form.