What is 0.178 as a fraction?
0.178 as a fraction is 178/1000 and its simplest form is 89/500.
Learn how to find what is 0.178 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 0.178 in its equivalent fraction form. It is required to recognize the decimal point 0.178 as 178 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.178 as a fraction and how it can be found easily.
Summary: 0.178 in fraction form
0.178 can be recognized as 178 thousandths, which can be represented as 178/1000 in fraction form. The simplest form of 178/1000 is 89/500. Therefore, 0.178 as a fraction is 89/500.
Write 0.178 as a fraction in simplest form.
0.178 = (?)
0.178 = 0.178/1
= (0.178/1) x (1000/1000) //0.178 can be recognized as 178 thousandths.
= 178/1000 //178 thousandths is equal to 178/1000 and it can be simplified further.
= (178/2)/(1000/2) //2 is the GCF of 178 and 1000. Divide both 178 and 1000 by the GCF 2 to simplify the fraction.
= 89/500
0.178 = 89/500
0.178 in its simplest fraction form is 89/500.
So, what is the fraction of 0.178?
It is 178/1000 in fraction. To simplify 178/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 178 by 2 gives 89,
and dividing 1000 by 2 gives 500. Thus, 178/1000 simplifies to 89/500
Refer to the step by step work further to learn how to find what is 0.178 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.178
What to be found:
What is 0.178 as a fraction in simplest form?
step 2 Write 0.178 as a simple fraction.
0.178/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.178/1.
Since the decimal 0.178 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.178/1 to make numerator as a whole number.
(0.178 x 1000)/(1 x 1000) = 178/1000
step 4
178 thousandths is the fraction form of 0.178, however, it can be reduced further. To simplify 178/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 178 and 1000 cancel each other.
178/1000 = (2 x 89)/(2 x 500)
= 89/500
178/1000 = 89/500
Hence,
0.178 as a fraction is 89/500.
Converting decimals like 0.178 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.178 to fraction form. In this case, 0.178 can be recognized as 178 thousandths. So, the fraction form of 0.178 is 178/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 178/1000 in its simplest form.