What is 0.424 as a fraction?
0.424 as a fraction is 424/1000 and its simplest form is 53/125.
Learn how to find what is 0.424 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 0.424 in its equivalent fraction form. It is required to recognize the decimal point 0.424 as 424 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.424 as a fraction and how it can be found easily.
Summary: 0.424 in fraction form
0.424 can be recognized as 424 thousandths, which can be represented as 424/1000 in fraction form. The simplest form of 424/1000 is 53/125. Therefore, 0.424 as a fraction is 53/125.
Write 0.424 as a fraction in simplest form.
0.424 = (?)
0.424 = 0.424/1
= (0.424/1) x (1000/1000) //0.424 can be recognized as 424 thousandths.
= 424/1000 //424 thousandths is equal to 424/1000 and it can be simplified further.
= (424/8)/(1000/8) //8 is the GCF of 424 and 1000. Divide both 424 and 1000 by the GCF 8 to simplify the fraction.
= 53/125
0.424 = 53/125
0.424 in its simplest fraction form is 53/125.
So, what is the fraction of 0.424?
It is 424/1000 in fraction. To simplify 424/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 424 by 8 gives 53,
and dividing 1000 by 8 gives 125. Thus, 424/1000 simplifies to 53/125
Refer to the step by step work further to learn how to find what is 0.424 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.424
What to be found:
What is 0.424 as a fraction in simplest form?
step 2 Write 0.424 as a simple fraction.
0.424/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.424/1.
Since the decimal 0.424 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.424/1 to make numerator as a whole number.
(0.424 x 1000)/(1 x 1000) = 424/1000
step 4
424 thousandths is the fraction form of 0.424, however, it can be reduced further. To simplify 424/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 424 and 1000 cancel each other.
424/1000 = (8 x 53)/(8 x 125)
= 53/125
424/1000 = 53/125
Hence,
0.424 as a fraction is 53/125.
Converting decimals like 0.424 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.424 to fraction form. In this case, 0.424 can be recognized as 424 thousandths. So, the fraction form of 0.424 is 424/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 424/1000 in its simplest form.