What is 0.978 as a fraction?
0.978 as a fraction is 978/1000 and its simplest form is 489/500.
Learn how to find what is 0.978 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 0.978 in its equivalent fraction form. It is required to recognize the decimal point 0.978 as 978 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.978 as a fraction and how it can be found easily.
Summary: 0.978 in fraction form
0.978 can be recognized as 978 thousandths, which can be represented as 978/1000 in fraction form. The simplest form of 978/1000 is 489/500. Therefore, 0.978 as a fraction is 489/500.
Write 0.978 as a fraction in simplest form.
0.978 = (?)
0.978 = 0.978/1
= (0.978/1) x (1000/1000) //0.978 can be recognized as 978 thousandths.
= 978/1000 //978 thousandths is equal to 978/1000 and it can be simplified further.
= (978/2)/(1000/2) //2 is the GCF of 978 and 1000. Divide both 978 and 1000 by the GCF 2 to simplify the fraction.
= 489/500
0.978 = 489/500
0.978 in its simplest fraction form is 489/500.
So, what is the fraction of 0.978?
It is 978/1000 in fraction. To simplify 978/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 978 by 2 gives 489,
and dividing 1000 by 2 gives 500. Thus, 978/1000 simplifies to 489/500
Refer to the step by step work further to learn how to find what is 0.978 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.978
What to be found:
What is 0.978 as a fraction in simplest form?
step 2 Write 0.978 as a simple fraction.
0.978/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.978/1.
Since the decimal 0.978 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.978/1 to make numerator as a whole number.
(0.978 x 1000)/(1 x 1000) = 978/1000
step 4
978 thousandths is the fraction form of 0.978, however, it can be reduced further. To simplify 978/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 978 and 1000 cancel each other.
978/1000 = (2 x 489)/(2 x 500)
= 489/500
978/1000 = 489/500
Hence,
0.978 as a fraction is 489/500.
Converting decimals like 0.978 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.978 to fraction form. In this case, 0.978 can be recognized as 978 thousandths. So, the fraction form of 0.978 is 978/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 978/1000 in its simplest form.