What is 0.096 as a fraction?
0.096 as a fraction is 96/1000 and its simplest form is 12/125.
Learn how to find what is 0.096 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 0.096 in its equivalent fraction form. It is required to recognize the decimal point 0.096 as 96 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.096 as a fraction and how it can be found easily.
Summary: 0.096 in fraction form
0.096 can be recognized as 96 thousandths, which can be represented as 96/1000 in fraction form. The simplest form of 96/1000 is 12/125. Therefore, 0.096 as a fraction is 12/125.
Write 0.096 as a fraction in simplest form.
0.096 = (?)
0.096 = 0.096/1
= (0.096/1) x (1000/1000) //0.096 can be recognized as 96 thousandths.
= 96/1000 //96 thousandths is equal to 96/1000 and it can be simplified further.
= (96/8)/(1000/8) //8 is the GCF of 96 and 1000. Divide both 96 and 1000 by the GCF 8 to simplify the fraction.
= 12/125
0.096 = 12/125
0.096 in its simplest fraction form is 12/125.
So, what is the fraction of 0.096?
It is 96/1000 in fraction. To simplify 96/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 96 by 8 gives 12,
and dividing 1000 by 8 gives 125. Thus, 96/1000 simplifies to 12/125
Refer to the step by step work further to learn how to find what is 0.096 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.096
What to be found:
What is 0.096 as a fraction in simplest form?
step 2 Write 0.096 as a simple fraction.
0.096/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.096/1.
Since the decimal 0.096 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.096/1 to make numerator as a whole number.
(0.096 x 1000)/(1 x 1000) = 96/1000
step 4
96 thousandths is the fraction form of 0.096, however, it can be reduced further. To simplify 96/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 96 and 1000 cancel each other.
96/1000 = (8 x 12)/(8 x 125)
= 12/125
96/1000 = 12/125
Hence,
0.096 as a fraction is 12/125.
Converting decimals like 0.096 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.096 to fraction form. In this case, 0.096 can be recognized as 96 thousandths. So, the fraction form of 0.096 is 96/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 96/1000 in its simplest form.