What is 0.155 as a fraction?
0.155 as a fraction is 155/1000 and its simplest form is 31/200.
Learn how to find what is 0.155 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 0.155 in its equivalent fraction form. It is required to recognize the decimal point 0.155 as 155 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.155 as a fraction and how it can be found easily.
Summary: 0.155 in fraction form
0.155 can be recognized as 155 thousandths, which can be represented as 155/1000 in fraction form. The simplest form of 155/1000 is 31/200. Therefore, 0.155 as a fraction is 31/200.
Write 0.155 as a fraction in simplest form.
0.155 = (?)
0.155 = 0.155/1
= (0.155/1) x (1000/1000) //0.155 can be recognized as 155 thousandths.
= 155/1000 //155 thousandths is equal to 155/1000 and it can be simplified further.
= (155/5)/(1000/5) //5 is the GCF of 155 and 1000. Divide both 155 and 1000 by the GCF 5 to simplify the fraction.
= 31/200
0.155 = 31/200
0.155 in its simplest fraction form is 31/200.
So, what is the fraction of 0.155?
It is 155/1000 in fraction. To simplify 155/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 155 by 5 gives 31,
and dividing 1000 by 5 gives 200. Thus, 155/1000 simplifies to 31/200
Refer to the step by step work further to learn how to find what is 0.155 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.155
What to be found:
What is 0.155 as a fraction in simplest form?
step 2 Write 0.155 as a simple fraction.
0.155/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.155/1.
Since the decimal 0.155 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.155/1 to make numerator as a whole number.
(0.155 x 1000)/(1 x 1000) = 155/1000
step 4
155 thousandths is the fraction form of 0.155, however, it can be reduced further. To simplify 155/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 155 and 1000 cancel each other.
155/1000 = (5 x 31)/(5 x 200)
= 31/200
155/1000 = 31/200
Hence,
0.155 as a fraction is 31/200.
Converting decimals like 0.155 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.155 to fraction form. In this case, 0.155 can be recognized as 155 thousandths. So, the fraction form of 0.155 is 155/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 155/1000 in its simplest form.