What is 0.696 as a fraction?
0.696 as a fraction is 696/1000 and its simplest form is 87/125.
Learn how to find what is 0.696 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 0.696 in its equivalent fraction form. It is required to recognize the decimal point 0.696 as 696 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.696 as a fraction and how it can be found easily.
Summary: 0.696 in fraction form
0.696 can be recognized as 696 thousandths, which can be represented as 696/1000 in fraction form. The simplest form of 696/1000 is 87/125. Therefore, 0.696 as a fraction is 87/125.
Write 0.696 as a fraction in simplest form.
0.696 = (?)
0.696 = 0.696/1
= (0.696/1) x (1000/1000) //0.696 can be recognized as 696 thousandths.
= 696/1000 //696 thousandths is equal to 696/1000 and it can be simplified further.
= (696/8)/(1000/8) //8 is the GCF of 696 and 1000. Divide both 696 and 1000 by the GCF 8 to simplify the fraction.
= 87/125
0.696 = 87/125
0.696 in its simplest fraction form is 87/125.
So, what is the fraction of 0.696?
It is 696/1000 in fraction. To simplify 696/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 696 by 8 gives 87,
and dividing 1000 by 8 gives 125. Thus, 696/1000 simplifies to 87/125
Refer to the step by step work further to learn how to find what is 0.696 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.696
What to be found:
What is 0.696 as a fraction in simplest form?
step 2 Write 0.696 as a simple fraction.
0.696/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.696/1.
Since the decimal 0.696 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.696/1 to make numerator as a whole number.
(0.696 x 1000)/(1 x 1000) = 696/1000
step 4
696 thousandths is the fraction form of 0.696, however, it can be reduced further. To simplify 696/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 696 and 1000 cancel each other.
696/1000 = (8 x 87)/(8 x 125)
= 87/125
696/1000 = 87/125
Hence,
0.696 as a fraction is 87/125.
Converting decimals like 0.696 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.696 to fraction form. In this case, 0.696 can be recognized as 696 thousandths. So, the fraction form of 0.696 is 696/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 696/1000 in its simplest form.