What is 0.124 as a fraction?
0.124 as a fraction is 124/1000 and its simplest form is 31/250.
Learn how to find what is 0.124 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 0.124 in its equivalent fraction form. It is required to recognize the decimal point 0.124 as 124 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.124 as a fraction and how it can be found easily.
Summary: 0.124 in fraction form
0.124 can be recognized as 124 thousandths, which can be represented as 124/1000 in fraction form. The simplest form of 124/1000 is 31/250. Therefore, 0.124 as a fraction is 31/250.
Write 0.124 as a fraction in simplest form.
0.124 = (?)
0.124 = 0.124/1
= (0.124/1) x (1000/1000) //0.124 can be recognized as 124 thousandths.
= 124/1000 //124 thousandths is equal to 124/1000 and it can be simplified further.
= (124/4)/(1000/4) //4 is the GCF of 124 and 1000. Divide both 124 and 1000 by the GCF 4 to simplify the fraction.
= 31/250
0.124 = 31/250
0.124 in its simplest fraction form is 31/250.
So, what is the fraction of 0.124?
It is 124/1000 in fraction. To simplify 124/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 124 by 4 gives 31,
and dividing 1000 by 4 gives 250. Thus, 124/1000 simplifies to 31/250
Refer to the step by step work further to learn how to find what is 0.124 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.124
What to be found:
What is 0.124 as a fraction in simplest form?
step 2 Write 0.124 as a simple fraction.
0.124/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.124/1.
Since the decimal 0.124 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.124/1 to make numerator as a whole number.
(0.124 x 1000)/(1 x 1000) = 124/1000
step 4
124 thousandths is the fraction form of 0.124, however, it can be reduced further. To simplify 124/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 124 and 1000 cancel each other.
124/1000 = (4 x 31)/(4 x 250)
= 31/250
124/1000 = 31/250
Hence,
0.124 as a fraction is 31/250.
Converting decimals like 0.124 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.124 to fraction form. In this case, 0.124 can be recognized as 124 thousandths. So, the fraction form of 0.124 is 124/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 124/1000 in its simplest form.