What is 0.0796 as a fraction?
0.0796 as a fraction is 796/10000 and its simplest form is 199/2500.
Learn how to find what is 0.0796 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 0.0796 in its equivalent fraction form. It is required to recognize the decimal point 0.0796 as 796 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0796 as a fraction and how it can be found easily.
Summary: 0.0796 in fraction form
0.0796 can be recognized as 796 ten-thousandths, which can be represented as 796/10000 in fraction form. The simplest form of 796/10000 is 199/2500. Therefore, 0.0796 as a fraction is 199/2500.
Write 0.0796 as a fraction in simplest form.
0.0796 = (?)
0.0796 = 0.0796/1
= (0.0796/1) x (10000/10000) //0.0796 can be recognized as 796 ten-thousandths.
= 796/10000 //796 ten-thousandths is equal to 796/10000 and it can be simplified further.
= (796/4)/(10000/4) //4 is the GCF of 796 and 10000. Divide both 796 and 10000 by the GCF 4 to simplify the fraction.
= 199/2500
0.0796 = 199/2500
0.0796 in its simplest fraction form is 199/2500.
So, what is the fraction of 0.0796?
It is 796/10000 in fraction. To simplify 796/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 796 by 4 gives 199,
and dividing 10000 by 4 gives 2500. Thus, 796/10000 simplifies to 199/2500
Refer to the step by step work further to learn how to find what is 0.0796 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.0796
What to be found:
What is 0.0796 as a fraction in simplest form?
step 2 Write 0.0796 as a simple fraction.
0.0796/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0796/1.
Since the decimal 0.0796 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0796/1 to make numerator as a whole number.
(0.0796 x 10000)/(1 x 10000) = 796/10000
step 4
796 ten-thousandths is the fraction form of 0.0796, however, it can be reduced further. To simplify 796/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 796 and 10000 cancel each other.
796/10000 = (4 x 199)/(4 x 2500)
= 199/2500
796/10000 = 199/2500
Hence,
0.0796 as a fraction is 199/2500.
Converting decimals like 0.0796 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0796 to fraction form. In this case, 0.0796 can be recognized as 796 ten-thousandths. So, the fraction form of 0.0796 is 796/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 796/10000 in its simplest form.