What is 0.725 as a fraction?
0.725 as a fraction is 725/1000 and its simplest form is 29/40.
Learn how to find what is 0.725 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 0.725 in its equivalent fraction form. It is required to recognize the decimal point 0.725 as 725 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.725 as a fraction and how it can be found easily.
Summary: 0.725 in fraction form
0.725 can be recognized as 725 thousandths, which can be represented as 725/1000 in fraction form. The simplest form of 725/1000 is 29/40. Therefore, 0.725 as a fraction is 29/40.
Write 0.725 as a fraction in simplest form.
0.725 = (?)
0.725 = 0.725/1
= (0.725/1) x (1000/1000) //0.725 can be recognized as 725 thousandths.
= 725/1000 //725 thousandths is equal to 725/1000 and it can be simplified further.
= (725/25)/(1000/25) //25 is the GCF of 725 and 1000. Divide both 725 and 1000 by the GCF 25 to simplify the fraction.
= 29/40
0.725 = 29/40
0.725 in its simplest fraction form is 29/40.
So, what is the fraction of 0.725?
It is 725/1000 in fraction. To simplify 725/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 725 by 25 gives 29,
and dividing 1000 by 25 gives 40. Thus, 725/1000 simplifies to 29/40
Refer to the step by step work further to learn how to find what is 0.725 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.725
What to be found:
What is 0.725 as a fraction in simplest form?
step 2 Write 0.725 as a simple fraction.
0.725/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.725/1.
Since the decimal 0.725 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.725/1 to make numerator as a whole number.
(0.725 x 1000)/(1 x 1000) = 725/1000
step 4
725 thousandths is the fraction form of 0.725, however, it can be reduced further. To simplify 725/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 725 and 1000 cancel each other.
725/1000 = (25 x 29)/(25 x 40)
= 29/40
725/1000 = 29/40
Hence,
0.725 as a fraction is 29/40.
Converting decimals like 0.725 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.725 to fraction form. In this case, 0.725 can be recognized as 725 thousandths. So, the fraction form of 0.725 is 725/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 725/1000 in its simplest form.