What is 0.358 as a fraction?
0.358 as a fraction is 358/1000 and its simplest form is 179/500.
Learn how to find what is 0.358 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 0.358 in its equivalent fraction form. It is required to recognize the decimal point 0.358 as 358 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.358 as a fraction and how it can be found easily.
Summary: 0.358 in fraction form
0.358 can be recognized as 358 thousandths, which can be represented as 358/1000 in fraction form. The simplest form of 358/1000 is 179/500. Therefore, 0.358 as a fraction is 179/500.
Write 0.358 as a fraction in simplest form.
0.358 = (?)
0.358 = 0.358/1
= (0.358/1) x (1000/1000) //0.358 can be recognized as 358 thousandths.
= 358/1000 //358 thousandths is equal to 358/1000 and it can be simplified further.
= (358/2)/(1000/2) //2 is the GCF of 358 and 1000. Divide both 358 and 1000 by the GCF 2 to simplify the fraction.
= 179/500
0.358 = 179/500
0.358 in its simplest fraction form is 179/500.
So, what is the fraction of 0.358?
It is 358/1000 in fraction. To simplify 358/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 358 by 2 gives 179,
and dividing 1000 by 2 gives 500. Thus, 358/1000 simplifies to 179/500
Refer to the step by step work further to learn how to find what is 0.358 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.358
What to be found:
What is 0.358 as a fraction in simplest form?
step 2 Write 0.358 as a simple fraction.
0.358/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.358/1.
Since the decimal 0.358 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.358/1 to make numerator as a whole number.
(0.358 x 1000)/(1 x 1000) = 358/1000
step 4
358 thousandths is the fraction form of 0.358, however, it can be reduced further. To simplify 358/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 358 and 1000 cancel each other.
358/1000 = (2 x 179)/(2 x 500)
= 179/500
358/1000 = 179/500
Hence,
0.358 as a fraction is 179/500.
Converting decimals like 0.358 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.358 to fraction form. In this case, 0.358 can be recognized as 358 thousandths. So, the fraction form of 0.358 is 358/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 358/1000 in its simplest form.