What is 0.984 as a fraction?
0.984 as a fraction is 984/1000 and its simplest form is 123/125.
Learn how to find what is 0.984 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 0.984 in its equivalent fraction form. It is required to recognize the decimal point 0.984 as 984 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.984 as a fraction and how it can be found easily.
Summary: 0.984 in fraction form
0.984 can be recognized as 984 thousandths, which can be represented as 984/1000 in fraction form. The simplest form of 984/1000 is 123/125. Therefore, 0.984 as a fraction is 123/125.
Write 0.984 as a fraction in simplest form.
0.984 = (?)
0.984 = 0.984/1
= (0.984/1) x (1000/1000) //0.984 can be recognized as 984 thousandths.
= 984/1000 //984 thousandths is equal to 984/1000 and it can be simplified further.
= (984/8)/(1000/8) //8 is the GCF of 984 and 1000. Divide both 984 and 1000 by the GCF 8 to simplify the fraction.
= 123/125
0.984 = 123/125
0.984 in its simplest fraction form is 123/125.
So, what is the fraction of 0.984?
It is 984/1000 in fraction. To simplify 984/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 984 by 8 gives 123,
and dividing 1000 by 8 gives 125. Thus, 984/1000 simplifies to 123/125
Refer to the step by step work further to learn how to find what is 0.984 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.984
What to be found:
What is 0.984 as a fraction in simplest form?
step 2 Write 0.984 as a simple fraction.
0.984/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.984/1.
Since the decimal 0.984 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.984/1 to make numerator as a whole number.
(0.984 x 1000)/(1 x 1000) = 984/1000
step 4
984 thousandths is the fraction form of 0.984, however, it can be reduced further. To simplify 984/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 984 and 1000 cancel each other.
984/1000 = (8 x 123)/(8 x 125)
= 123/125
984/1000 = 123/125
Hence,
0.984 as a fraction is 123/125.
Converting decimals like 0.984 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.984 to fraction form. In this case, 0.984 can be recognized as 984 thousandths. So, the fraction form of 0.984 is 984/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 984/1000 in its simplest form.