What is 0.724 as a fraction?
0.724 as a fraction is 724/1000 and its simplest form is 181/250.
Learn how to find what is 0.724 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 0.724 in its equivalent fraction form. It is required to recognize the decimal point 0.724 as 724 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.724 as a fraction and how it can be found easily.
Summary: 0.724 in fraction form
0.724 can be recognized as 724 thousandths, which can be represented as 724/1000 in fraction form. The simplest form of 724/1000 is 181/250. Therefore, 0.724 as a fraction is 181/250.
Write 0.724 as a fraction in simplest form.
0.724 = (?)
0.724 = 0.724/1
= (0.724/1) x (1000/1000) //0.724 can be recognized as 724 thousandths.
= 724/1000 //724 thousandths is equal to 724/1000 and it can be simplified further.
= (724/4)/(1000/4) //4 is the GCF of 724 and 1000. Divide both 724 and 1000 by the GCF 4 to simplify the fraction.
= 181/250
0.724 = 181/250
0.724 in its simplest fraction form is 181/250.
So, what is the fraction of 0.724?
It is 724/1000 in fraction. To simplify 724/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 724 by 4 gives 181,
and dividing 1000 by 4 gives 250. Thus, 724/1000 simplifies to 181/250
Refer to the step by step work further to learn how to find what is 0.724 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.724
What to be found:
What is 0.724 as a fraction in simplest form?
step 2 Write 0.724 as a simple fraction.
0.724/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.724/1.
Since the decimal 0.724 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.724/1 to make numerator as a whole number.
(0.724 x 1000)/(1 x 1000) = 724/1000
step 4
724 thousandths is the fraction form of 0.724, however, it can be reduced further. To simplify 724/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 724 and 1000 cancel each other.
724/1000 = (4 x 181)/(4 x 250)
= 181/250
724/1000 = 181/250
Hence,
0.724 as a fraction is 181/250.
Converting decimals like 0.724 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.724 to fraction form. In this case, 0.724 can be recognized as 724 thousandths. So, the fraction form of 0.724 is 724/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 724/1000 in its simplest form.