0.024 as a Fraction in Simplest Form

Learn how to find what is 0.024 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 0.024 in its equivalent fraction form. It is required to recognize the decimal point 0.024 as 24 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.024 as a fraction and how it can be found easily.

Summary: 0.024 in fraction form
0.024 can be recognized as 24 thousandths, which can be represented as 24/1000 in fraction form. The simplest form of 24/1000 is 3/125. Therefore, 0.024 as a fraction is 3/125.

Write 0.024 as a fraction in simplest form.
0.024 = (?)
0.024 = 0.024/1
= (0.024/1) x (1000/1000)      //0.024 can be recognized as 24 thousandths.
= 24/1000      //24 thousandths is equal to 24/1000 and it can be simplified further.
= (24/8)/(1000/8)       //8 is the GCF of 24 and 1000. Divide both 24 and 1000 by the GCF 8 to simplify the fraction.
= 3/125
0.024 = 3/125
0.024 in its simplest fraction form is 3/125.

So, what is the fraction of 0.024?
It is 24/1000 in fraction. To simplify 24/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 24 by 8 gives 3, and dividing 1000 by 8 gives 125. Thus, 24/1000 simplifies to 3/125

Refer to the step by step work further to learn how to find what is 0.024 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.024

What to be found:
What is 0.024 as a fraction in simplest form?

step 2 Write 0.024 as a simple fraction.
0.024/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.024/1.
Since the decimal 0.024 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.024/1 to make numerator as a whole number.
(0.024 x 1000)/(1 x 1000) = 24/1000

step 4 24 thousandths is the fraction form of 0.024, however, it can be reduced further. To simplify 24/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 24 and 1000 cancel each other.
24/1000 = (8 x 3)/(8 x 125)
= 3/125
24/1000 = 3/125
Hence,
0.024 as a fraction is 3/125.

Converting decimals like 0.024 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.024 to fraction form. In this case, 0.024 can be recognized as 24 thousandths. So, the fraction form of 0.024 is 24/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 24/1000 in its simplest form.