What is 0.974 as a fraction?
0.974 as a fraction is 974/1000 and its simplest form is 487/500.
Learn how to find what is 0.974 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 0.974 in its equivalent fraction form. It is required to recognize the decimal point 0.974 as 974 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.974 as a fraction and how it can be found easily.
Summary: 0.974 in fraction form
0.974 can be recognized as 974 thousandths, which can be represented as 974/1000 in fraction form. The simplest form of 974/1000 is 487/500. Therefore, 0.974 as a fraction is 487/500.
Write 0.974 as a fraction in simplest form.
0.974 = (?)
0.974 = 0.974/1
= (0.974/1) x (1000/1000) //0.974 can be recognized as 974 thousandths.
= 974/1000 //974 thousandths is equal to 974/1000 and it can be simplified further.
= (974/2)/(1000/2) //2 is the GCF of 974 and 1000. Divide both 974 and 1000 by the GCF 2 to simplify the fraction.
= 487/500
0.974 = 487/500
0.974 in its simplest fraction form is 487/500.
So, what is the fraction of 0.974?
It is 974/1000 in fraction. To simplify 974/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 974 by 2 gives 487,
and dividing 1000 by 2 gives 500. Thus, 974/1000 simplifies to 487/500
Refer to the step by step work further to learn how to find what is 0.974 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.974
What to be found:
What is 0.974 as a fraction in simplest form?
step 2 Write 0.974 as a simple fraction.
0.974/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.974/1.
Since the decimal 0.974 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.974/1 to make numerator as a whole number.
(0.974 x 1000)/(1 x 1000) = 974/1000
step 4
974 thousandths is the fraction form of 0.974, however, it can be reduced further. To simplify 974/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 974 and 1000 cancel each other.
974/1000 = (2 x 487)/(2 x 500)
= 487/500
974/1000 = 487/500
Hence,
0.974 as a fraction is 487/500.
Converting decimals like 0.974 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.974 to fraction form. In this case, 0.974 can be recognized as 974 thousandths. So, the fraction form of 0.974 is 974/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 974/1000 in its simplest form.