What is 11.8 as a fraction?
11.8 as a fraction is 118/10 and its simplest form is 59/5.
Learn how to find what is 11.8 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 11.8 in its equivalent fraction form. It is required to recognize the decimal point 11.8 as 118 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 11.8 as a fraction and how it can be found easily.
Summary: 11.8 in fraction form
11.8 can be recognized as 118 tenths, which can be represented as 118/10 in fraction form. The simplest form of 118/10 is 59/5. Therefore, 11.8 as a fraction is 59/5.
Write 11.8 as a fraction in simplest form.
11.8 = (?)
11.8 = 11.8/1
= (11.8/1) x (10/10) //11.8 can be recognized as 118 tenths.
= 118/10 //118 tenths is equal to 118/10 and it can be simplified further.
= (118/2)/(10/2) //2 is the GCF of 118 and 10. Divide both 118 and 10 by the GCF 2 to simplify the fraction.
= 59/5
11.8 = 59/5
11.8 in its simplest fraction form is 59/5.
So, what is the fraction of 11.8?
It is 118/10 in fraction. To simplify 118/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 118 by 2 gives 59,
and dividing 10 by 2 gives 5. Thus, 118/10 simplifies to 59/5
Refer to the step by step work further to learn how to find what is 11.8 as a fraction in simple form.
step 1
Input values:
The decimal number = 11.8
What to be found:
What is 11.8 as a fraction in simplest form?
step 2 Write 11.8 as a simple fraction.
11.8/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 11.8/1.
Since the decimal 11.8 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 11.8/1 to make numerator as a whole number.
(11.8 x 10)/(1 x 10) = 118/10
step 4
118 tenths is the fraction form of 11.8, however, it can be reduced further. To simplify 118/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 118 and 10 cancel each other.
118/10 = (2 x 59)/(2 x 5)
= 59/5
118/10 = 59/5
Hence,
11.8 as a fraction is 59/5.
Converting decimals like 11.8 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 11.8 to fraction form. In this case, 11.8 can be recognized as 118 tenths. So, the fraction form of 11.8 is 118/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 118/10 in its simplest form.