0.058 as a Fraction in Simplest Form

Learn how to find what is 0.058 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 0.058 in its equivalent fraction form. It is required to recognize the decimal point 0.058 as 58 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.058 as a fraction and how it can be found easily.

Summary: 0.058 in fraction form
0.058 can be recognized as 58 thousandths, which can be represented as 58/1000 in fraction form. The simplest form of 58/1000 is 29/500. Therefore, 0.058 as a fraction is 29/500.

Write 0.058 as a fraction in simplest form.
0.058 = (?)
0.058 = 0.058/1
= (0.058/1) x (1000/1000)      //0.058 can be recognized as 58 thousandths.
= 58/1000      //58 thousandths is equal to 58/1000 and it can be simplified further.
= (58/2)/(1000/2)       //2 is the GCF of 58 and 1000. Divide both 58 and 1000 by the GCF 2 to simplify the fraction.
= 29/500
0.058 = 29/500
0.058 in its simplest fraction form is 29/500.

So, what is the fraction of 0.058?
It is 58/1000 in fraction. To simplify 58/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 58 by 2 gives 29, and dividing 1000 by 2 gives 500. Thus, 58/1000 simplifies to 29/500

Refer to the step by step work further to learn how to find what is 0.058 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.058

What to be found:
What is 0.058 as a fraction in simplest form?

step 2 Write 0.058 as a simple fraction.
0.058/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.058/1.
Since the decimal 0.058 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.058/1 to make numerator as a whole number.
(0.058 x 1000)/(1 x 1000) = 58/1000

step 4 58 thousandths is the fraction form of 0.058, however, it can be reduced further. To simplify 58/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 58 and 1000 cancel each other.
58/1000 = (2 x 29)/(2 x 500)
= 29/500
58/1000 = 29/500
Hence,
0.058 as a fraction is 29/500.

Converting decimals like 0.058 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.058 to fraction form. In this case, 0.058 can be recognized as 58 thousandths. So, the fraction form of 0.058 is 58/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 58/1000 in its simplest form.