What is 0.355 as a fraction?
0.355 as a fraction is 355/1000 and its simplest form is 71/200.
Learn how to find what is 0.355 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 0.355 in its equivalent fraction form. It is required to recognize the decimal point 0.355 as 355 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.355 as a fraction and how it can be found easily.
Summary: 0.355 in fraction form
0.355 can be recognized as 355 thousandths, which can be represented as 355/1000 in fraction form. The simplest form of 355/1000 is 71/200. Therefore, 0.355 as a fraction is 71/200.
Write 0.355 as a fraction in simplest form.
0.355 = (?)
0.355 = 0.355/1
= (0.355/1) x (1000/1000) //0.355 can be recognized as 355 thousandths.
= 355/1000 //355 thousandths is equal to 355/1000 and it can be simplified further.
= (355/5)/(1000/5) //5 is the GCF of 355 and 1000. Divide both 355 and 1000 by the GCF 5 to simplify the fraction.
= 71/200
0.355 = 71/200
0.355 in its simplest fraction form is 71/200.
So, what is the fraction of 0.355?
It is 355/1000 in fraction. To simplify 355/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 355 by 5 gives 71,
and dividing 1000 by 5 gives 200. Thus, 355/1000 simplifies to 71/200
Refer to the step by step work further to learn how to find what is 0.355 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.355
What to be found:
What is 0.355 as a fraction in simplest form?
step 2 Write 0.355 as a simple fraction.
0.355/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.355/1.
Since the decimal 0.355 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.355/1 to make numerator as a whole number.
(0.355 x 1000)/(1 x 1000) = 355/1000
step 4
355 thousandths is the fraction form of 0.355, however, it can be reduced further. To simplify 355/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 355 and 1000 cancel each other.
355/1000 = (5 x 71)/(5 x 200)
= 71/200
355/1000 = 71/200
Hence,
0.355 as a fraction is 71/200.
Converting decimals like 0.355 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.355 to fraction form. In this case, 0.355 can be recognized as 355 thousandths. So, the fraction form of 0.355 is 355/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 355/1000 in its simplest form.