What is 0.976 as a fraction?
0.976 as a fraction is 976/1000 and its simplest form is 122/125.
Learn how to find what is 0.976 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 0.976 in its equivalent fraction form. It is required to recognize the decimal point 0.976 as 976 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.976 as a fraction and how it can be found easily.
Summary: 0.976 in fraction form
0.976 can be recognized as 976 thousandths, which can be represented as 976/1000 in fraction form. The simplest form of 976/1000 is 122/125. Therefore, 0.976 as a fraction is 122/125.
Write 0.976 as a fraction in simplest form.
0.976 = (?)
0.976 = 0.976/1
= (0.976/1) x (1000/1000) //0.976 can be recognized as 976 thousandths.
= 976/1000 //976 thousandths is equal to 976/1000 and it can be simplified further.
= (976/8)/(1000/8) //8 is the GCF of 976 and 1000. Divide both 976 and 1000 by the GCF 8 to simplify the fraction.
= 122/125
0.976 = 122/125
0.976 in its simplest fraction form is 122/125.
So, what is the fraction of 0.976?
It is 976/1000 in fraction. To simplify 976/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 976 by 8 gives 122,
and dividing 1000 by 8 gives 125. Thus, 976/1000 simplifies to 122/125
Refer to the step by step work further to learn how to find what is 0.976 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.976
What to be found:
What is 0.976 as a fraction in simplest form?
step 2 Write 0.976 as a simple fraction.
0.976/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.976/1.
Since the decimal 0.976 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.976/1 to make numerator as a whole number.
(0.976 x 1000)/(1 x 1000) = 976/1000
step 4
976 thousandths is the fraction form of 0.976, however, it can be reduced further. To simplify 976/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 976 and 1000 cancel each other.
976/1000 = (8 x 122)/(8 x 125)
= 122/125
976/1000 = 122/125
Hence,
0.976 as a fraction is 122/125.
Converting decimals like 0.976 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.976 to fraction form. In this case, 0.976 can be recognized as 976 thousandths. So, the fraction form of 0.976 is 976/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 976/1000 in its simplest form.