What is 0.128 as a fraction?
0.128 as a fraction is 128/1000 and its simplest form is 16/125.
Learn how to find what is 0.128 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 0.128 in its equivalent fraction form. It is required to recognize the decimal point 0.128 as 128 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.128 as a fraction and how it can be found easily.
Summary: 0.128 in fraction form
0.128 can be recognized as 128 thousandths, which can be represented as 128/1000 in fraction form. The simplest form of 128/1000 is 16/125. Therefore, 0.128 as a fraction is 16/125.
Write 0.128 as a fraction in simplest form.
0.128 = (?)
0.128 = 0.128/1
= (0.128/1) x (1000/1000) //0.128 can be recognized as 128 thousandths.
= 128/1000 //128 thousandths is equal to 128/1000 and it can be simplified further.
= (128/8)/(1000/8) //8 is the GCF of 128 and 1000. Divide both 128 and 1000 by the GCF 8 to simplify the fraction.
= 16/125
0.128 = 16/125
0.128 in its simplest fraction form is 16/125.
So, what is the fraction of 0.128?
It is 128/1000 in fraction. To simplify 128/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 128 by 8 gives 16,
and dividing 1000 by 8 gives 125. Thus, 128/1000 simplifies to 16/125
Refer to the step by step work further to learn how to find what is 0.128 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.128
What to be found:
What is 0.128 as a fraction in simplest form?
step 2 Write 0.128 as a simple fraction.
0.128/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.128/1.
Since the decimal 0.128 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.128/1 to make numerator as a whole number.
(0.128 x 1000)/(1 x 1000) = 128/1000
step 4
128 thousandths is the fraction form of 0.128, however, it can be reduced further. To simplify 128/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 128 and 1000 cancel each other.
128/1000 = (8 x 16)/(8 x 125)
= 16/125
128/1000 = 16/125
Hence,
0.128 as a fraction is 16/125.
Converting decimals like 0.128 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.128 to fraction form. In this case, 0.128 can be recognized as 128 thousandths. So, the fraction form of 0.128 is 128/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 128/1000 in its simplest form.