What is 0.224 as a fraction?
0.224 as a fraction is 224/1000 and its simplest form is 28/125.
Learn how to find what is 0.224 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 0.224 in its equivalent fraction form. It is required to recognize the decimal point 0.224 as 224 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.224 as a fraction and how it can be found easily.
Summary: 0.224 in fraction form
0.224 can be recognized as 224 thousandths, which can be represented as 224/1000 in fraction form. The simplest form of 224/1000 is 28/125. Therefore, 0.224 as a fraction is 28/125.
Write 0.224 as a fraction in simplest form.
0.224 = (?)
0.224 = 0.224/1
= (0.224/1) x (1000/1000) //0.224 can be recognized as 224 thousandths.
= 224/1000 //224 thousandths is equal to 224/1000 and it can be simplified further.
= (224/8)/(1000/8) //8 is the GCF of 224 and 1000. Divide both 224 and 1000 by the GCF 8 to simplify the fraction.
= 28/125
0.224 = 28/125
0.224 in its simplest fraction form is 28/125.
So, what is the fraction of 0.224?
It is 224/1000 in fraction. To simplify 224/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 224 by 8 gives 28,
and dividing 1000 by 8 gives 125. Thus, 224/1000 simplifies to 28/125
Refer to the step by step work further to learn how to find what is 0.224 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.224
What to be found:
What is 0.224 as a fraction in simplest form?
step 2 Write 0.224 as a simple fraction.
0.224/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.224/1.
Since the decimal 0.224 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.224/1 to make numerator as a whole number.
(0.224 x 1000)/(1 x 1000) = 224/1000
step 4
224 thousandths is the fraction form of 0.224, however, it can be reduced further. To simplify 224/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 224 and 1000 cancel each other.
224/1000 = (8 x 28)/(8 x 125)
= 28/125
224/1000 = 28/125
Hence,
0.224 as a fraction is 28/125.
Converting decimals like 0.224 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.224 to fraction form. In this case, 0.224 can be recognized as 224 thousandths. So, the fraction form of 0.224 is 224/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 224/1000 in its simplest form.