What is 11.75 as a fraction?
11.75 as a fraction is 1175/100 and its simplest form is 47/4.
Learn how to find what is 11.75 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 11.75 in its equivalent fraction form. It is required to recognize the decimal point 11.75 as 1175 hundredths to get started with this decimal to fraction conversion. Continue reading to learn what is 11.75 as a fraction and how it can be found easily.
Summary: 11.75 in fraction form
11.75 can be recognized as 1175 hundredths, which can be represented as 1175/100 in fraction form. The simplest form of 1175/100 is 47/4. Therefore, 11.75 as a fraction is 47/4.
Write 11.75 as a fraction in simplest form.
11.75 = (?)
11.75 = 11.75/1
= (11.75/1) x (100/100) //11.75 can be recognized as 1175 hundredths.
= 1175/100 //1175 hundredths is equal to 1175/100 and it can be simplified further.
= (1175/25)/(100/25) //25 is the GCF of 1175 and 100. Divide both 1175 and 100 by the GCF 25 to simplify the fraction.
= 47/4
11.75 = 47/4
11.75 in its simplest fraction form is 47/4.
So, what is the fraction of 11.75?
It is 1175/100 in fraction. To simplify 1175/100, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 1175 by 25 gives 47,
and dividing 100 by 25 gives 4. Thus, 1175/100 simplifies to 47/4
Refer to the step by step work further to learn how to find what is 11.75 as a fraction in simple form.
step 1
Input values:
The decimal number = 11.75
What to be found:
What is 11.75 as a fraction in simplest form?
step 2 Write 11.75 as a simple fraction.
11.75/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 11.75/1.
Since the decimal 11.75 has 2 digits after the decimal point, multiply 100 with both numerator and denominator of 11.75/1 to make numerator as a whole number.
(11.75 x 100)/(1 x 100) = 1175/100
step 4
1175 hundredths is the fraction form of 11.75, however, it can be reduced further. To simplify 1175/100, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 1175 and 100 cancel each other.
1175/100 = (25 x 47)/(25 x 4)
= 47/4
1175/100 = 47/4
Hence,
11.75 as a fraction is 47/4.
Converting decimals like 11.75 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 11.75 to fraction form. In this case, 11.75 can be recognized as 1175 hundredths. So, the fraction form of 11.75 is 1175/100. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 1175/100 in its simplest form.