What is 0.728 as a fraction?
0.728 as a fraction is 728/1000 and its simplest form is 91/125.
Learn how to find what is 0.728 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 0.728 in its equivalent fraction form. It is required to recognize the decimal point 0.728 as 728 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.728 as a fraction and how it can be found easily.
Summary: 0.728 in fraction form
0.728 can be recognized as 728 thousandths, which can be represented as 728/1000 in fraction form. The simplest form of 728/1000 is 91/125. Therefore, 0.728 as a fraction is 91/125.
Write 0.728 as a fraction in simplest form.
0.728 = (?)
0.728 = 0.728/1
= (0.728/1) x (1000/1000) //0.728 can be recognized as 728 thousandths.
= 728/1000 //728 thousandths is equal to 728/1000 and it can be simplified further.
= (728/8)/(1000/8) //8 is the GCF of 728 and 1000. Divide both 728 and 1000 by the GCF 8 to simplify the fraction.
= 91/125
0.728 = 91/125
0.728 in its simplest fraction form is 91/125.
So, what is the fraction of 0.728?
It is 728/1000 in fraction. To simplify 728/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 728 by 8 gives 91,
and dividing 1000 by 8 gives 125. Thus, 728/1000 simplifies to 91/125
Refer to the step by step work further to learn how to find what is 0.728 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.728
What to be found:
What is 0.728 as a fraction in simplest form?
step 2 Write 0.728 as a simple fraction.
0.728/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.728/1.
Since the decimal 0.728 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.728/1 to make numerator as a whole number.
(0.728 x 1000)/(1 x 1000) = 728/1000
step 4
728 thousandths is the fraction form of 0.728, however, it can be reduced further. To simplify 728/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 728 and 1000 cancel each other.
728/1000 = (8 x 91)/(8 x 125)
= 91/125
728/1000 = 91/125
Hence,
0.728 as a fraction is 91/125.
Converting decimals like 0.728 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.728 to fraction form. In this case, 0.728 can be recognized as 728 thousandths. So, the fraction form of 0.728 is 728/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 728/1000 in its simplest form.