What is 0.174 as a fraction?
0.174 as a fraction is 174/1000 and its simplest form is 87/500.
Learn how to find what is 0.174 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 0.174 in its equivalent fraction form. It is required to recognize the decimal point 0.174 as 174 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.174 as a fraction and how it can be found easily.
Summary: 0.174 in fraction form
0.174 can be recognized as 174 thousandths, which can be represented as 174/1000 in fraction form. The simplest form of 174/1000 is 87/500. Therefore, 0.174 as a fraction is 87/500.
Write 0.174 as a fraction in simplest form.
0.174 = (?)
0.174 = 0.174/1
= (0.174/1) x (1000/1000) //0.174 can be recognized as 174 thousandths.
= 174/1000 //174 thousandths is equal to 174/1000 and it can be simplified further.
= (174/2)/(1000/2) //2 is the GCF of 174 and 1000. Divide both 174 and 1000 by the GCF 2 to simplify the fraction.
= 87/500
0.174 = 87/500
0.174 in its simplest fraction form is 87/500.
So, what is the fraction of 0.174?
It is 174/1000 in fraction. To simplify 174/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 174 by 2 gives 87,
and dividing 1000 by 2 gives 500. Thus, 174/1000 simplifies to 87/500
Refer to the step by step work further to learn how to find what is 0.174 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.174
What to be found:
What is 0.174 as a fraction in simplest form?
step 2 Write 0.174 as a simple fraction.
0.174/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.174/1.
Since the decimal 0.174 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.174/1 to make numerator as a whole number.
(0.174 x 1000)/(1 x 1000) = 174/1000
step 4
174 thousandths is the fraction form of 0.174, however, it can be reduced further. To simplify 174/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 174 and 1000 cancel each other.
174/1000 = (2 x 87)/(2 x 500)
= 87/500
174/1000 = 87/500
Hence,
0.174 as a fraction is 87/500.
Converting decimals like 0.174 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.174 to fraction form. In this case, 0.174 can be recognized as 174 thousandths. So, the fraction form of 0.174 is 174/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 174/1000 in its simplest form.