What is 0.425 as a fraction?
0.425 as a fraction is 425/1000 and its simplest form is 17/40.
Learn how to find what is 0.425 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 0.425 in its equivalent fraction form. It is required to recognize the decimal point 0.425 as 425 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.425 as a fraction and how it can be found easily.
Summary: 0.425 in fraction form
0.425 can be recognized as 425 thousandths, which can be represented as 425/1000 in fraction form. The simplest form of 425/1000 is 17/40. Therefore, 0.425 as a fraction is 17/40.
Write 0.425 as a fraction in simplest form.
0.425 = (?)
0.425 = 0.425/1
= (0.425/1) x (1000/1000) //0.425 can be recognized as 425 thousandths.
= 425/1000 //425 thousandths is equal to 425/1000 and it can be simplified further.
= (425/25)/(1000/25) //25 is the GCF of 425 and 1000. Divide both 425 and 1000 by the GCF 25 to simplify the fraction.
= 17/40
0.425 = 17/40
0.425 in its simplest fraction form is 17/40.
So, what is the fraction of 0.425?
It is 425/1000 in fraction. To simplify 425/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 425 by 25 gives 17,
and dividing 1000 by 25 gives 40. Thus, 425/1000 simplifies to 17/40
Refer to the step by step work further to learn how to find what is 0.425 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.425
What to be found:
What is 0.425 as a fraction in simplest form?
step 2 Write 0.425 as a simple fraction.
0.425/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.425/1.
Since the decimal 0.425 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.425/1 to make numerator as a whole number.
(0.425 x 1000)/(1 x 1000) = 425/1000
step 4
425 thousandths is the fraction form of 0.425, however, it can be reduced further. To simplify 425/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 425 and 1000 cancel each other.
425/1000 = (25 x 17)/(25 x 40)
= 17/40
425/1000 = 17/40
Hence,
0.425 as a fraction is 17/40.
Converting decimals like 0.425 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.425 to fraction form. In this case, 0.425 can be recognized as 425 thousandths. So, the fraction form of 0.425 is 425/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 425/1000 in its simplest form.