What is 0.874 as a fraction?
0.874 as a fraction is 874/1000 and its simplest form is 437/500.
Learn how to find what is 0.874 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 0.874 in its equivalent fraction form. It is required to recognize the decimal point 0.874 as 874 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.874 as a fraction and how it can be found easily.
Summary: 0.874 in fraction form
0.874 can be recognized as 874 thousandths, which can be represented as 874/1000 in fraction form. The simplest form of 874/1000 is 437/500. Therefore, 0.874 as a fraction is 437/500.
Write 0.874 as a fraction in simplest form.
0.874 = (?)
0.874 = 0.874/1
= (0.874/1) x (1000/1000) //0.874 can be recognized as 874 thousandths.
= 874/1000 //874 thousandths is equal to 874/1000 and it can be simplified further.
= (874/2)/(1000/2) //2 is the GCF of 874 and 1000. Divide both 874 and 1000 by the GCF 2 to simplify the fraction.
= 437/500
0.874 = 437/500
0.874 in its simplest fraction form is 437/500.
So, what is the fraction of 0.874?
It is 874/1000 in fraction. To simplify 874/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 874 by 2 gives 437,
and dividing 1000 by 2 gives 500. Thus, 874/1000 simplifies to 437/500
Refer to the step by step work further to learn how to find what is 0.874 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.874
What to be found:
What is 0.874 as a fraction in simplest form?
step 2 Write 0.874 as a simple fraction.
0.874/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.874/1.
Since the decimal 0.874 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.874/1 to make numerator as a whole number.
(0.874 x 1000)/(1 x 1000) = 874/1000
step 4
874 thousandths is the fraction form of 0.874, however, it can be reduced further. To simplify 874/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 874 and 1000 cancel each other.
874/1000 = (2 x 437)/(2 x 500)
= 437/500
874/1000 = 437/500
Hence,
0.874 as a fraction is 437/500.
Converting decimals like 0.874 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.874 to fraction form. In this case, 0.874 can be recognized as 874 thousandths. So, the fraction form of 0.874 is 874/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 874/1000 in its simplest form.