0.0242 as a Fraction in Simplest Form

Learn how to find what is 0.0242 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 0.0242 in its equivalent fraction form. It is required to recognize the decimal point 0.0242 as 242 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0242 as a fraction and how it can be found easily.

Summary: 0.0242 in fraction form
0.0242 can be recognized as 242 ten-thousandths, which can be represented as 242/10000 in fraction form. The simplest form of 242/10000 is 121/5000. Therefore, 0.0242 as a fraction is 121/5000.

Write 0.0242 as a fraction in simplest form.
0.0242 = (?)
0.0242 = 0.0242/1
= (0.0242/1) x (10000/10000)      //0.0242 can be recognized as 242 ten-thousandths.
= 242/10000      //242 ten-thousandths is equal to 242/10000 and it can be simplified further.
= (242/2)/(10000/2)       //2 is the GCF of 242 and 10000. Divide both 242 and 10000 by the GCF 2 to simplify the fraction.
= 121/5000
0.0242 = 121/5000
0.0242 in its simplest fraction form is 121/5000.

So, what is the fraction of 0.0242?
It is 242/10000 in fraction. To simplify 242/10000, 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 10000 by 2 gives 5000. Thus, 242/10000 simplifies to 121/5000

Refer to the step by step work further to learn how to find what is 0.0242 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0242

What to be found:
What is 0.0242 as a fraction in simplest form?

step 2 Write 0.0242 as a simple fraction.
0.0242/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0242/1.
Since the decimal 0.0242 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0242/1 to make numerator as a whole number.
(0.0242 x 10000)/(1 x 10000) = 242/10000

step 4 242 ten-thousandths is the fraction form of 0.0242, however, it can be reduced further. To simplify 242/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 242 and 10000 cancel each other.
242/10000 = (2 x 121)/(2 x 5000)
= 121/5000
242/10000 = 121/5000
Hence,
0.0242 as a fraction is 121/5000.

Converting decimals like 0.0242 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0242 to fraction form. In this case, 0.0242 can be recognized as 242 ten-thousandths. So, the fraction form of 0.0242 is 242/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 242/10000 in its simplest form.