What is 0.632 as a fraction?
0.632 as a fraction is 632/1000 and its simplest form is 79/125.
Learn how to find what is 0.632 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 0.632 in its equivalent fraction form. It is required to recognize the decimal point 0.632 as 632 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.632 as a fraction and how it can be found easily.
Summary: 0.632 in fraction form
0.632 can be recognized as 632 thousandths, which can be represented as 632/1000 in fraction form. The simplest form of 632/1000 is 79/125. Therefore, 0.632 as a fraction is 79/125.
Write 0.632 as a fraction in simplest form.
0.632 = (?)
0.632 = 0.632/1
= (0.632/1) x (1000/1000) //0.632 can be recognized as 632 thousandths.
= 632/1000 //632 thousandths is equal to 632/1000 and it can be simplified further.
= (632/8)/(1000/8) //8 is the GCF of 632 and 1000. Divide both 632 and 1000 by the GCF 8 to simplify the fraction.
= 79/125
0.632 = 79/125
0.632 in its simplest fraction form is 79/125.
So, what is the fraction of 0.632?
It is 632/1000 in fraction. To simplify 632/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 632 by 8 gives 79,
and dividing 1000 by 8 gives 125. Thus, 632/1000 simplifies to 79/125
Refer to the step by step work further to learn how to find what is 0.632 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.632
What to be found:
What is 0.632 as a fraction in simplest form?
step 2 Write 0.632 as a simple fraction.
0.632/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.632/1.
Since the decimal 0.632 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.632/1 to make numerator as a whole number.
(0.632 x 1000)/(1 x 1000) = 632/1000
step 4
632 thousandths is the fraction form of 0.632, however, it can be reduced further. To simplify 632/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 632 and 1000 cancel each other.
632/1000 = (8 x 79)/(8 x 125)
= 79/125
632/1000 = 79/125
Hence,
0.632 as a fraction is 79/125.
Converting decimals like 0.632 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.632 to fraction form. In this case, 0.632 can be recognized as 632 thousandths. So, the fraction form of 0.632 is 632/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 632/1000 in its simplest form.