What is 23.25 as a fraction?
23.25 as a fraction is 2325/100 and its simplest form is 93/4.
Learn how to find what is 23.25 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 23.25 in its equivalent fraction form. It is required to recognize the decimal point 23.25 as 2325 hundredths to get started with this decimal to fraction conversion. Continue reading to learn what is 23.25 as a fraction and how it can be found easily.
Summary: 23.25 in fraction form
23.25 can be recognized as 2325 hundredths, which can be represented as 2325/100 in fraction form. The simplest form of 2325/100 is 93/4. Therefore, 23.25 as a fraction is 93/4.
Write 23.25 as a fraction in simplest form.
23.25 = (?)
23.25 = 23.25/1
= (23.25/1) x (100/100) //23.25 can be recognized as 2325 hundredths.
= 2325/100 //2325 hundredths is equal to 2325/100 and it can be simplified further.
= (2325/25)/(100/25) //25 is the GCF of 2325 and 100. Divide both 2325 and 100 by the GCF 25 to simplify the fraction.
= 93/4
23.25 = 93/4
23.25 in its simplest fraction form is 93/4.
So, what is the fraction of 23.25?
It is 2325/100 in fraction. To simplify 2325/100, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 2325 by 25 gives 93,
and dividing 100 by 25 gives 4. Thus, 2325/100 simplifies to 93/4
Refer to the step by step work further to learn how to find what is 23.25 as a fraction in simple form.
step 1
Input values:
The decimal number = 23.25
What to be found:
What is 23.25 as a fraction in simplest form?
step 2 Write 23.25 as a simple fraction.
23.25/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 23.25/1.
Since the decimal 23.25 has 2 digits after the decimal point, multiply 100 with both numerator and denominator of 23.25/1 to make numerator as a whole number.
(23.25 x 100)/(1 x 100) = 2325/100
step 4
2325 hundredths is the fraction form of 23.25, however, it can be reduced further. To simplify 2325/100, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 2325 and 100 cancel each other.
2325/100 = (25 x 93)/(25 x 4)
= 93/4
2325/100 = 93/4
Hence,
23.25 as a fraction is 93/4.
Converting decimals like 23.25 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 23.25 to fraction form. In this case, 23.25 can be recognized as 2325 hundredths. So, the fraction form of 23.25 is 2325/100. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 2325/100 in its simplest form.