What is 0.102 as a fraction?
0.102 as a fraction is 102/1000 and its simplest form is 51/500.
Learn how to find what is 0.102 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 0.102 in its equivalent fraction form. It is required to recognize the decimal point 0.102 as 102 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.102 as a fraction and how it can be found easily.
Summary: 0.102 in fraction form
0.102 can be recognized as 102 thousandths, which can be represented as 102/1000 in fraction form. The simplest form of 102/1000 is 51/500. Therefore, 0.102 as a fraction is 51/500.
Write 0.102 as a fraction in simplest form.
0.102 = (?)
0.102 = 0.102/1
= (0.102/1) x (1000/1000) //0.102 can be recognized as 102 thousandths.
= 102/1000 //102 thousandths is equal to 102/1000 and it can be simplified further.
= (102/2)/(1000/2) //2 is the GCF of 102 and 1000. Divide both 102 and 1000 by the GCF 2 to simplify the fraction.
= 51/500
0.102 = 51/500
0.102 in its simplest fraction form is 51/500.
So, what is the fraction of 0.102?
It is 102/1000 in fraction. To simplify 102/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 102 by 2 gives 51,
and dividing 1000 by 2 gives 500. Thus, 102/1000 simplifies to 51/500
Refer to the step by step work further to learn how to find what is 0.102 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.102
What to be found:
What is 0.102 as a fraction in simplest form?
step 2 Write 0.102 as a simple fraction.
0.102/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.102/1.
Since the decimal 0.102 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.102/1 to make numerator as a whole number.
(0.102 x 1000)/(1 x 1000) = 102/1000
step 4
102 thousandths is the fraction form of 0.102, however, it can be reduced further. To simplify 102/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 102 and 1000 cancel each other.
102/1000 = (2 x 51)/(2 x 500)
= 51/500
102/1000 = 51/500
Hence,
0.102 as a fraction is 51/500.
Converting decimals like 0.102 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.102 to fraction form. In this case, 0.102 can be recognized as 102 thousandths. So, the fraction form of 0.102 is 102/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 102/1000 in its simplest form.