What is 0.172 as a fraction?
0.172 as a fraction is 172/1000 and its simplest form is 43/250.
Learn how to find what is 0.172 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 0.172 in its equivalent fraction form. It is required to recognize the decimal point 0.172 as 172 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.172 as a fraction and how it can be found easily.
Summary: 0.172 in fraction form
0.172 can be recognized as 172 thousandths, which can be represented as 172/1000 in fraction form. The simplest form of 172/1000 is 43/250. Therefore, 0.172 as a fraction is 43/250.
Write 0.172 as a fraction in simplest form.
0.172 = (?)
0.172 = 0.172/1
= (0.172/1) x (1000/1000) //0.172 can be recognized as 172 thousandths.
= 172/1000 //172 thousandths is equal to 172/1000 and it can be simplified further.
= (172/4)/(1000/4) //4 is the GCF of 172 and 1000. Divide both 172 and 1000 by the GCF 4 to simplify the fraction.
= 43/250
0.172 = 43/250
0.172 in its simplest fraction form is 43/250.
So, what is the fraction of 0.172?
It is 172/1000 in fraction. To simplify 172/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 172 by 4 gives 43,
and dividing 1000 by 4 gives 250. Thus, 172/1000 simplifies to 43/250
Refer to the step by step work further to learn how to find what is 0.172 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.172
What to be found:
What is 0.172 as a fraction in simplest form?
step 2 Write 0.172 as a simple fraction.
0.172/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.172/1.
Since the decimal 0.172 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.172/1 to make numerator as a whole number.
(0.172 x 1000)/(1 x 1000) = 172/1000
step 4
172 thousandths is the fraction form of 0.172, however, it can be reduced further. To simplify 172/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 172 and 1000 cancel each other.
172/1000 = (4 x 43)/(4 x 250)
= 43/250
172/1000 = 43/250
Hence,
0.172 as a fraction is 43/250.
Converting decimals like 0.172 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.172 to fraction form. In this case, 0.172 can be recognized as 172 thousandths. So, the fraction form of 0.172 is 172/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 172/1000 in its simplest form.