0.026 as a Fraction in Simplest Form

Learn how to find what is 0.026 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 0.026 in its equivalent fraction form. It is required to recognize the decimal point 0.026 as 26 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.026 as a fraction and how it can be found easily.

Summary: 0.026 in fraction form
0.026 can be recognized as 26 thousandths, which can be represented as 26/1000 in fraction form. The simplest form of 26/1000 is 13/500. Therefore, 0.026 as a fraction is 13/500.

Write 0.026 as a fraction in simplest form.
0.026 = (?)
0.026 = 0.026/1
= (0.026/1) x (1000/1000)      //0.026 can be recognized as 26 thousandths.
= 26/1000      //26 thousandths is equal to 26/1000 and it can be simplified further.
= (26/2)/(1000/2)       //2 is the GCF of 26 and 1000. Divide both 26 and 1000 by the GCF 2 to simplify the fraction.
= 13/500
0.026 = 13/500
0.026 in its simplest fraction form is 13/500.

So, what is the fraction of 0.026?
It is 26/1000 in fraction. To simplify 26/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 26 by 2 gives 13, and dividing 1000 by 2 gives 500. Thus, 26/1000 simplifies to 13/500

Refer to the step by step work further to learn how to find what is 0.026 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.026

What to be found:
What is 0.026 as a fraction in simplest form?

step 2 Write 0.026 as a simple fraction.
0.026/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.026/1.
Since the decimal 0.026 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.026/1 to make numerator as a whole number.
(0.026 x 1000)/(1 x 1000) = 26/1000

step 4 26 thousandths is the fraction form of 0.026, however, it can be reduced further. To simplify 26/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 26 and 1000 cancel each other.
26/1000 = (2 x 13)/(2 x 500)
= 13/500
26/1000 = 13/500
Hence,
0.026 as a fraction is 13/500.

Converting decimals like 0.026 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.026 to fraction form. In this case, 0.026 can be recognized as 26 thousandths. So, the fraction form of 0.026 is 26/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 26/1000 in its simplest form.