What is 0.775 as a fraction?
0.775 as a fraction is 775/1000 and its simplest form is 31/40.
Learn how to find what is 0.775 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 0.775 in its equivalent fraction form. It is required to recognize the decimal point 0.775 as 775 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.775 as a fraction and how it can be found easily.
Summary: 0.775 in fraction form
0.775 can be recognized as 775 thousandths, which can be represented as 775/1000 in fraction form. The simplest form of 775/1000 is 31/40. Therefore, 0.775 as a fraction is 31/40.
Write 0.775 as a fraction in simplest form.
0.775 = (?)
0.775 = 0.775/1
= (0.775/1) x (1000/1000) //0.775 can be recognized as 775 thousandths.
= 775/1000 //775 thousandths is equal to 775/1000 and it can be simplified further.
= (775/25)/(1000/25) //25 is the GCF of 775 and 1000. Divide both 775 and 1000 by the GCF 25 to simplify the fraction.
= 31/40
0.775 = 31/40
0.775 in its simplest fraction form is 31/40.
So, what is the fraction of 0.775?
It is 775/1000 in fraction. To simplify 775/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 775 by 25 gives 31,
and dividing 1000 by 25 gives 40. Thus, 775/1000 simplifies to 31/40
Refer to the step by step work further to learn how to find what is 0.775 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.775
What to be found:
What is 0.775 as a fraction in simplest form?
step 2 Write 0.775 as a simple fraction.
0.775/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.775/1.
Since the decimal 0.775 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.775/1 to make numerator as a whole number.
(0.775 x 1000)/(1 x 1000) = 775/1000
step 4
775 thousandths is the fraction form of 0.775, however, it can be reduced further. To simplify 775/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 775 and 1000 cancel each other.
775/1000 = (25 x 31)/(25 x 40)
= 31/40
775/1000 = 31/40
Hence,
0.775 as a fraction is 31/40.
Converting decimals like 0.775 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.775 to fraction form. In this case, 0.775 can be recognized as 775 thousandths. So, the fraction form of 0.775 is 775/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 775/1000 in its simplest form.