What is 0.726 as a fraction?
0.726 as a fraction is 726/1000 and its simplest form is 363/500.
Learn how to find what is 0.726 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 0.726 in its equivalent fraction form. It is required to recognize the decimal point 0.726 as 726 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.726 as a fraction and how it can be found easily.
Summary: 0.726 in fraction form
0.726 can be recognized as 726 thousandths, which can be represented as 726/1000 in fraction form. The simplest form of 726/1000 is 363/500. Therefore, 0.726 as a fraction is 363/500.
Write 0.726 as a fraction in simplest form.
0.726 = (?)
0.726 = 0.726/1
= (0.726/1) x (1000/1000) //0.726 can be recognized as 726 thousandths.
= 726/1000 //726 thousandths is equal to 726/1000 and it can be simplified further.
= (726/2)/(1000/2) //2 is the GCF of 726 and 1000. Divide both 726 and 1000 by the GCF 2 to simplify the fraction.
= 363/500
0.726 = 363/500
0.726 in its simplest fraction form is 363/500.
So, what is the fraction of 0.726?
It is 726/1000 in fraction. To simplify 726/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 726 by 2 gives 363,
and dividing 1000 by 2 gives 500. Thus, 726/1000 simplifies to 363/500
Refer to the step by step work further to learn how to find what is 0.726 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.726
What to be found:
What is 0.726 as a fraction in simplest form?
step 2 Write 0.726 as a simple fraction.
0.726/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.726/1.
Since the decimal 0.726 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.726/1 to make numerator as a whole number.
(0.726 x 1000)/(1 x 1000) = 726/1000
step 4
726 thousandths is the fraction form of 0.726, however, it can be reduced further. To simplify 726/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 726 and 1000 cancel each other.
726/1000 = (2 x 363)/(2 x 500)
= 363/500
726/1000 = 363/500
Hence,
0.726 as a fraction is 363/500.
Converting decimals like 0.726 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.726 to fraction form. In this case, 0.726 can be recognized as 726 thousandths. So, the fraction form of 0.726 is 726/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 726/1000 in its simplest form.