0.674 as a Fraction in Simplest Form

Learn how to find what is 0.674 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 0.674 in its equivalent fraction form. It is required to recognize the decimal point 0.674 as 674 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.674 as a fraction and how it can be found easily.

Summary: 0.674 in fraction form
0.674 can be recognized as 674 thousandths, which can be represented as 674/1000 in fraction form. The simplest form of 674/1000 is 337/500. Therefore, 0.674 as a fraction is 337/500.

Write 0.674 as a fraction in simplest form.
0.674 = (?)
0.674 = 0.674/1
= (0.674/1) x (1000/1000)      //0.674 can be recognized as 674 thousandths.
= 674/1000      //674 thousandths is equal to 674/1000 and it can be simplified further.
= (674/2)/(1000/2)       //2 is the GCF of 674 and 1000. Divide both 674 and 1000 by the GCF 2 to simplify the fraction.
= 337/500
0.674 = 337/500
0.674 in its simplest fraction form is 337/500.

So, what is the fraction of 0.674?
It is 674/1000 in fraction. To simplify 674/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 674 by 2 gives 337, and dividing 1000 by 2 gives 500. Thus, 674/1000 simplifies to 337/500

Refer to the step by step work further to learn how to find what is 0.674 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.674

What to be found:
What is 0.674 as a fraction in simplest form?

step 2 Write 0.674 as a simple fraction.
0.674/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.674/1.
Since the decimal 0.674 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.674/1 to make numerator as a whole number.
(0.674 x 1000)/(1 x 1000) = 674/1000

step 4 674 thousandths is the fraction form of 0.674, however, it can be reduced further. To simplify 674/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 674 and 1000 cancel each other.
674/1000 = (2 x 337)/(2 x 500)
= 337/500
674/1000 = 337/500
Hence,
0.674 as a fraction is 337/500.

Converting decimals like 0.674 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.674 to fraction form. In this case, 0.674 can be recognized as 674 thousandths. So, the fraction form of 0.674 is 674/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 674/1000 in its simplest form.