What is 12.4 as a fraction?
12.4 as a fraction is 124/10 and its simplest form is 62/5.
Learn how to find what is 12.4 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 12.4 in its equivalent fraction form. It is required to recognize the decimal point 12.4 as 124 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 12.4 as a fraction and how it can be found easily.
Summary: 12.4 in fraction form
12.4 can be recognized as 124 tenths, which can be represented as 124/10 in fraction form. The simplest form of 124/10 is 62/5. Therefore, 12.4 as a fraction is 62/5.
Write 12.4 as a fraction in simplest form.
12.4 = (?)
12.4 = 12.4/1
= (12.4/1) x (10/10) //12.4 can be recognized as 124 tenths.
= 124/10 //124 tenths is equal to 124/10 and it can be simplified further.
= (124/2)/(10/2) //2 is the GCF of 124 and 10. Divide both 124 and 10 by the GCF 2 to simplify the fraction.
= 62/5
12.4 = 62/5
12.4 in its simplest fraction form is 62/5.
So, what is the fraction of 12.4?
It is 124/10 in fraction. To simplify 124/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 124 by 2 gives 62,
and dividing 10 by 2 gives 5. Thus, 124/10 simplifies to 62/5
Refer to the step by step work further to learn how to find what is 12.4 as a fraction in simple form.
step 1
Input values:
The decimal number = 12.4
What to be found:
What is 12.4 as a fraction in simplest form?
step 2 Write 12.4 as a simple fraction.
12.4/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 12.4/1.
Since the decimal 12.4 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 12.4/1 to make numerator as a whole number.
(12.4 x 10)/(1 x 10) = 124/10
step 4
124 tenths is the fraction form of 12.4, however, it can be reduced further. To simplify 124/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 124 and 10 cancel each other.
124/10 = (2 x 62)/(2 x 5)
= 62/5
124/10 = 62/5
Hence,
12.4 as a fraction is 62/5.
Converting decimals like 12.4 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 12.4 to fraction form. In this case, 12.4 can be recognized as 124 tenths. So, the fraction form of 12.4 is 124/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 124/10 in its simplest form.