What is 0.722 as a fraction?
0.722 as a fraction is 722/1000 and its simplest form is 361/500.
Learn how to find what is 0.722 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 0.722 in its equivalent fraction form. It is required to recognize the decimal point 0.722 as 722 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.722 as a fraction and how it can be found easily.
Summary: 0.722 in fraction form
0.722 can be recognized as 722 thousandths, which can be represented as 722/1000 in fraction form. The simplest form of 722/1000 is 361/500. Therefore, 0.722 as a fraction is 361/500.
Write 0.722 as a fraction in simplest form.
0.722 = (?)
0.722 = 0.722/1
= (0.722/1) x (1000/1000) //0.722 can be recognized as 722 thousandths.
= 722/1000 //722 thousandths is equal to 722/1000 and it can be simplified further.
= (722/2)/(1000/2) //2 is the GCF of 722 and 1000. Divide both 722 and 1000 by the GCF 2 to simplify the fraction.
= 361/500
0.722 = 361/500
0.722 in its simplest fraction form is 361/500.
So, what is the fraction of 0.722?
It is 722/1000 in fraction. To simplify 722/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 722 by 2 gives 361,
and dividing 1000 by 2 gives 500. Thus, 722/1000 simplifies to 361/500
Refer to the step by step work further to learn how to find what is 0.722 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.722
What to be found:
What is 0.722 as a fraction in simplest form?
step 2 Write 0.722 as a simple fraction.
0.722/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.722/1.
Since the decimal 0.722 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.722/1 to make numerator as a whole number.
(0.722 x 1000)/(1 x 1000) = 722/1000
step 4
722 thousandths is the fraction form of 0.722, however, it can be reduced further. To simplify 722/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 722 and 1000 cancel each other.
722/1000 = (2 x 361)/(2 x 500)
= 361/500
722/1000 = 361/500
Hence,
0.722 as a fraction is 361/500.
Converting decimals like 0.722 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.722 to fraction form. In this case, 0.722 can be recognized as 722 thousandths. So, the fraction form of 0.722 is 722/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 722/1000 in its simplest form.