What is 11.6 as a fraction?
11.6 as a fraction is 116/10 and its simplest form is 58/5.
Learn how to find what is 11.6 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 11.6 in its equivalent fraction form. It is required to recognize the decimal point 11.6 as 116 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 11.6 as a fraction and how it can be found easily.
Summary: 11.6 in fraction form
11.6 can be recognized as 116 tenths, which can be represented as 116/10 in fraction form. The simplest form of 116/10 is 58/5. Therefore, 11.6 as a fraction is 58/5.
Write 11.6 as a fraction in simplest form.
11.6 = (?)
11.6 = 11.6/1
= (11.6/1) x (10/10) //11.6 can be recognized as 116 tenths.
= 116/10 //116 tenths is equal to 116/10 and it can be simplified further.
= (116/2)/(10/2) //2 is the GCF of 116 and 10. Divide both 116 and 10 by the GCF 2 to simplify the fraction.
= 58/5
11.6 = 58/5
11.6 in its simplest fraction form is 58/5.
So, what is the fraction of 11.6?
It is 116/10 in fraction. To simplify 116/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 116 by 2 gives 58,
and dividing 10 by 2 gives 5. Thus, 116/10 simplifies to 58/5
Refer to the step by step work further to learn how to find what is 11.6 as a fraction in simple form.
step 1
Input values:
The decimal number = 11.6
What to be found:
What is 11.6 as a fraction in simplest form?
step 2 Write 11.6 as a simple fraction.
11.6/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 11.6/1.
Since the decimal 11.6 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 11.6/1 to make numerator as a whole number.
(11.6 x 10)/(1 x 10) = 116/10
step 4
116 tenths is the fraction form of 11.6, however, it can be reduced further. To simplify 116/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 116 and 10 cancel each other.
116/10 = (2 x 58)/(2 x 5)
= 58/5
116/10 = 58/5
Hence,
11.6 as a fraction is 58/5.
Converting decimals like 11.6 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 11.6 to fraction form. In this case, 11.6 can be recognized as 116 tenths. So, the fraction form of 11.6 is 116/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 116/10 in its simplest form.