0.052 as a Fraction in Simplest Form

Learn how to find what is 0.052 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 0.052 in its equivalent fraction form. It is required to recognize the decimal point 0.052 as 52 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.052 as a fraction and how it can be found easily.

Summary: 0.052 in fraction form
0.052 can be recognized as 52 thousandths, which can be represented as 52/1000 in fraction form. The simplest form of 52/1000 is 13/250. Therefore, 0.052 as a fraction is 13/250.

Write 0.052 as a fraction in simplest form.
0.052 = (?)
0.052 = 0.052/1
= (0.052/1) x (1000/1000)      //0.052 can be recognized as 52 thousandths.
= 52/1000      //52 thousandths is equal to 52/1000 and it can be simplified further.
= (52/4)/(1000/4)       //4 is the GCF of 52 and 1000. Divide both 52 and 1000 by the GCF 4 to simplify the fraction.
= 13/250
0.052 = 13/250
0.052 in its simplest fraction form is 13/250.

So, what is the fraction of 0.052?
It is 52/1000 in fraction. To simplify 52/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 52 by 4 gives 13, and dividing 1000 by 4 gives 250. Thus, 52/1000 simplifies to 13/250

Refer to the step by step work further to learn how to find what is 0.052 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.052

What to be found:
What is 0.052 as a fraction in simplest form?

step 2 Write 0.052 as a simple fraction.
0.052/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.052/1.
Since the decimal 0.052 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.052/1 to make numerator as a whole number.
(0.052 x 1000)/(1 x 1000) = 52/1000

step 4 52 thousandths is the fraction form of 0.052, however, it can be reduced further. To simplify 52/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 52 and 1000 cancel each other.
52/1000 = (4 x 13)/(4 x 250)
= 13/250
52/1000 = 13/250
Hence,
0.052 as a fraction is 13/250.

Converting decimals like 0.052 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.052 to fraction form. In this case, 0.052 can be recognized as 52 thousandths. So, the fraction form of 0.052 is 52/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 52/1000 in its simplest form.