What is 0.734 as a fraction?
0.734 as a fraction is 734/1000 and its simplest form is 367/500.
Learn how to find what is 0.734 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 0.734 in its equivalent fraction form. It is required to recognize the decimal point 0.734 as 734 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.734 as a fraction and how it can be found easily.
Summary: 0.734 in fraction form
0.734 can be recognized as 734 thousandths, which can be represented as 734/1000 in fraction form. The simplest form of 734/1000 is 367/500. Therefore, 0.734 as a fraction is 367/500.
Write 0.734 as a fraction in simplest form.
0.734 = (?)
0.734 = 0.734/1
= (0.734/1) x (1000/1000) //0.734 can be recognized as 734 thousandths.
= 734/1000 //734 thousandths is equal to 734/1000 and it can be simplified further.
= (734/2)/(1000/2) //2 is the GCF of 734 and 1000. Divide both 734 and 1000 by the GCF 2 to simplify the fraction.
= 367/500
0.734 = 367/500
0.734 in its simplest fraction form is 367/500.
So, what is the fraction of 0.734?
It is 734/1000 in fraction. To simplify 734/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 734 by 2 gives 367,
and dividing 1000 by 2 gives 500. Thus, 734/1000 simplifies to 367/500
Refer to the step by step work further to learn how to find what is 0.734 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.734
What to be found:
What is 0.734 as a fraction in simplest form?
step 2 Write 0.734 as a simple fraction.
0.734/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.734/1.
Since the decimal 0.734 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.734/1 to make numerator as a whole number.
(0.734 x 1000)/(1 x 1000) = 734/1000
step 4
734 thousandths is the fraction form of 0.734, however, it can be reduced further. To simplify 734/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 734 and 1000 cancel each other.
734/1000 = (2 x 367)/(2 x 500)
= 367/500
734/1000 = 367/500
Hence,
0.734 as a fraction is 367/500.
Converting decimals like 0.734 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.734 to fraction form. In this case, 0.734 can be recognized as 734 thousandths. So, the fraction form of 0.734 is 734/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 734/1000 in its simplest form.