What is 0.925 as a fraction?
0.925 as a fraction is 925/1000 and its simplest form is 37/40.
Learn how to find what is 0.925 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 0.925 in its equivalent fraction form. It is required to recognize the decimal point 0.925 as 925 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.925 as a fraction and how it can be found easily.
Summary: 0.925 in fraction form
0.925 can be recognized as 925 thousandths, which can be represented as 925/1000 in fraction form. The simplest form of 925/1000 is 37/40. Therefore, 0.925 as a fraction is 37/40.
Write 0.925 as a fraction in simplest form.
0.925 = (?)
0.925 = 0.925/1
= (0.925/1) x (1000/1000) //0.925 can be recognized as 925 thousandths.
= 925/1000 //925 thousandths is equal to 925/1000 and it can be simplified further.
= (925/25)/(1000/25) //25 is the GCF of 925 and 1000. Divide both 925 and 1000 by the GCF 25 to simplify the fraction.
= 37/40
0.925 = 37/40
0.925 in its simplest fraction form is 37/40.
So, what is the fraction of 0.925?
It is 925/1000 in fraction. To simplify 925/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 925 by 25 gives 37,
and dividing 1000 by 25 gives 40. Thus, 925/1000 simplifies to 37/40
Refer to the step by step work further to learn how to find what is 0.925 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.925
What to be found:
What is 0.925 as a fraction in simplest form?
step 2 Write 0.925 as a simple fraction.
0.925/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.925/1.
Since the decimal 0.925 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.925/1 to make numerator as a whole number.
(0.925 x 1000)/(1 x 1000) = 925/1000
step 4
925 thousandths is the fraction form of 0.925, however, it can be reduced further. To simplify 925/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 925 and 1000 cancel each other.
925/1000 = (25 x 37)/(25 x 40)
= 37/40
925/1000 = 37/40
Hence,
0.925 as a fraction is 37/40.
Converting decimals like 0.925 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.925 to fraction form. In this case, 0.925 can be recognized as 925 thousandths. So, the fraction form of 0.925 is 925/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 925/1000 in its simplest form.