What is 23.2 as a fraction?
23.2 as a fraction is 232/10 and its simplest form is 116/5.
Learn how to find what is 23.2 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 23.2 in its equivalent fraction form. It is required to recognize the decimal point 23.2 as 232 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 23.2 as a fraction and how it can be found easily.
Summary: 23.2 in fraction form
23.2 can be recognized as 232 tenths, which can be represented as 232/10 in fraction form. The simplest form of 232/10 is 116/5. Therefore, 23.2 as a fraction is 116/5.
Write 23.2 as a fraction in simplest form.
23.2 = (?)
23.2 = 23.2/1
= (23.2/1) x (10/10) //23.2 can be recognized as 232 tenths.
= 232/10 //232 tenths is equal to 232/10 and it can be simplified further.
= (232/2)/(10/2) //2 is the GCF of 232 and 10. Divide both 232 and 10 by the GCF 2 to simplify the fraction.
= 116/5
23.2 = 116/5
23.2 in its simplest fraction form is 116/5.
So, what is the fraction of 23.2?
It is 232/10 in fraction. To simplify 232/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 232 by 2 gives 116,
and dividing 10 by 2 gives 5. Thus, 232/10 simplifies to 116/5
Refer to the step by step work further to learn how to find what is 23.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 23.2
What to be found:
What is 23.2 as a fraction in simplest form?
step 2 Write 23.2 as a simple fraction.
23.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 23.2/1.
Since the decimal 23.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 23.2/1 to make numerator as a whole number.
(23.2 x 10)/(1 x 10) = 232/10
step 4
232 tenths is the fraction form of 23.2, however, it can be reduced further. To simplify 232/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 232 and 10 cancel each other.
232/10 = (2 x 116)/(2 x 5)
= 116/5
232/10 = 116/5
Hence,
23.2 as a fraction is 116/5.
Converting decimals like 23.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 23.2 to fraction form. In this case, 23.2 can be recognized as 232 tenths. So, the fraction form of 23.2 is 232/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 232/10 in its simplest form.