What is 23.8 as a fraction?
23.8 as a fraction is 238/10 and its simplest form is 119/5.
Learn how to find what is 23.8 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 23.8 in its equivalent fraction form. It is required to recognize the decimal point 23.8 as 238 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 23.8 as a fraction and how it can be found easily.
Summary: 23.8 in fraction form
23.8 can be recognized as 238 tenths, which can be represented as 238/10 in fraction form. The simplest form of 238/10 is 119/5. Therefore, 23.8 as a fraction is 119/5.
Write 23.8 as a fraction in simplest form.
23.8 = (?)
23.8 = 23.8/1
= (23.8/1) x (10/10) //23.8 can be recognized as 238 tenths.
= 238/10 //238 tenths is equal to 238/10 and it can be simplified further.
= (238/2)/(10/2) //2 is the GCF of 238 and 10. Divide both 238 and 10 by the GCF 2 to simplify the fraction.
= 119/5
23.8 = 119/5
23.8 in its simplest fraction form is 119/5.
So, what is the fraction of 23.8?
It is 238/10 in fraction. To simplify 238/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 238 by 2 gives 119,
and dividing 10 by 2 gives 5. Thus, 238/10 simplifies to 119/5
Refer to the step by step work further to learn how to find what is 23.8 as a fraction in simple form.
step 1
Input values:
The decimal number = 23.8
What to be found:
What is 23.8 as a fraction in simplest form?
step 2 Write 23.8 as a simple fraction.
23.8/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 23.8/1.
Since the decimal 23.8 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 23.8/1 to make numerator as a whole number.
(23.8 x 10)/(1 x 10) = 238/10
step 4
238 tenths is the fraction form of 23.8, however, it can be reduced further. To simplify 238/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 238 and 10 cancel each other.
238/10 = (2 x 119)/(2 x 5)
= 119/5
238/10 = 119/5
Hence,
23.8 as a fraction is 119/5.
Converting decimals like 23.8 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 23.8 to fraction form. In this case, 23.8 can be recognized as 238 tenths. So, the fraction form of 23.8 is 238/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 238/10 in its simplest form.