What is 0.968 as a fraction?
0.968 as a fraction is 968/1000 and its simplest form is 121/125.
Learn how to find what is 0.968 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 0.968 in its equivalent fraction form. It is required to recognize the decimal point 0.968 as 968 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.968 as a fraction and how it can be found easily.
Summary: 0.968 in fraction form
0.968 can be recognized as 968 thousandths, which can be represented as 968/1000 in fraction form. The simplest form of 968/1000 is 121/125. Therefore, 0.968 as a fraction is 121/125.
Write 0.968 as a fraction in simplest form.
0.968 = (?)
0.968 = 0.968/1
= (0.968/1) x (1000/1000) //0.968 can be recognized as 968 thousandths.
= 968/1000 //968 thousandths is equal to 968/1000 and it can be simplified further.
= (968/8)/(1000/8) //8 is the GCF of 968 and 1000. Divide both 968 and 1000 by the GCF 8 to simplify the fraction.
= 121/125
0.968 = 121/125
0.968 in its simplest fraction form is 121/125.
So, what is the fraction of 0.968?
It is 968/1000 in fraction. To simplify 968/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 968 by 8 gives 121,
and dividing 1000 by 8 gives 125. Thus, 968/1000 simplifies to 121/125
Refer to the step by step work further to learn how to find what is 0.968 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.968
What to be found:
What is 0.968 as a fraction in simplest form?
step 2 Write 0.968 as a simple fraction.
0.968/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.968/1.
Since the decimal 0.968 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.968/1 to make numerator as a whole number.
(0.968 x 1000)/(1 x 1000) = 968/1000
step 4
968 thousandths is the fraction form of 0.968, however, it can be reduced further. To simplify 968/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 968 and 1000 cancel each other.
968/1000 = (8 x 121)/(8 x 125)
= 121/125
968/1000 = 121/125
Hence,
0.968 as a fraction is 121/125.
Converting decimals like 0.968 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.968 to fraction form. In this case, 0.968 can be recognized as 968 thousandths. So, the fraction form of 0.968 is 968/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 968/1000 in its simplest form.