What is 0.695 as a fraction?
0.695 as a fraction is 695/1000 and its simplest form is 139/200.
Learn how to find what is 0.695 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 0.695 in its equivalent fraction form. It is required to recognize the decimal point 0.695 as 695 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.695 as a fraction and how it can be found easily.
Summary: 0.695 in fraction form
0.695 can be recognized as 695 thousandths, which can be represented as 695/1000 in fraction form. The simplest form of 695/1000 is 139/200. Therefore, 0.695 as a fraction is 139/200.
Write 0.695 as a fraction in simplest form.
0.695 = (?)
0.695 = 0.695/1
= (0.695/1) x (1000/1000) //0.695 can be recognized as 695 thousandths.
= 695/1000 //695 thousandths is equal to 695/1000 and it can be simplified further.
= (695/5)/(1000/5) //5 is the GCF of 695 and 1000. Divide both 695 and 1000 by the GCF 5 to simplify the fraction.
= 139/200
0.695 = 139/200
0.695 in its simplest fraction form is 139/200.
So, what is the fraction of 0.695?
It is 695/1000 in fraction. To simplify 695/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 695 by 5 gives 139,
and dividing 1000 by 5 gives 200. Thus, 695/1000 simplifies to 139/200
Refer to the step by step work further to learn how to find what is 0.695 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.695
What to be found:
What is 0.695 as a fraction in simplest form?
step 2 Write 0.695 as a simple fraction.
0.695/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.695/1.
Since the decimal 0.695 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.695/1 to make numerator as a whole number.
(0.695 x 1000)/(1 x 1000) = 695/1000
step 4
695 thousandths is the fraction form of 0.695, however, it can be reduced further. To simplify 695/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 695 and 1000 cancel each other.
695/1000 = (5 x 139)/(5 x 200)
= 139/200
695/1000 = 139/200
Hence,
0.695 as a fraction is 139/200.
Converting decimals like 0.695 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.695 to fraction form. In this case, 0.695 can be recognized as 695 thousandths. So, the fraction form of 0.695 is 695/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 695/1000 in its simplest form.