What is 0.344 as a fraction?
0.344 as a fraction is 344/1000 and its simplest form is 43/125.
Learn how to find what is 0.344 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 0.344 in its equivalent fraction form. It is required to recognize the decimal point 0.344 as 344 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.344 as a fraction and how it can be found easily.
Summary: 0.344 in fraction form
0.344 can be recognized as 344 thousandths, which can be represented as 344/1000 in fraction form. The simplest form of 344/1000 is 43/125. Therefore, 0.344 as a fraction is 43/125.
Write 0.344 as a fraction in simplest form.
0.344 = (?)
0.344 = 0.344/1
= (0.344/1) x (1000/1000) //0.344 can be recognized as 344 thousandths.
= 344/1000 //344 thousandths is equal to 344/1000 and it can be simplified further.
= (344/8)/(1000/8) //8 is the GCF of 344 and 1000. Divide both 344 and 1000 by the GCF 8 to simplify the fraction.
= 43/125
0.344 = 43/125
0.344 in its simplest fraction form is 43/125.
So, what is the fraction of 0.344?
It is 344/1000 in fraction. To simplify 344/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 344 by 8 gives 43,
and dividing 1000 by 8 gives 125. Thus, 344/1000 simplifies to 43/125
Refer to the step by step work further to learn how to find what is 0.344 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.344
What to be found:
What is 0.344 as a fraction in simplest form?
step 2 Write 0.344 as a simple fraction.
0.344/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.344/1.
Since the decimal 0.344 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.344/1 to make numerator as a whole number.
(0.344 x 1000)/(1 x 1000) = 344/1000
step 4
344 thousandths is the fraction form of 0.344, however, it can be reduced further. To simplify 344/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 344 and 1000 cancel each other.
344/1000 = (8 x 43)/(8 x 125)
= 43/125
344/1000 = 43/125
Hence,
0.344 as a fraction is 43/125.
Converting decimals like 0.344 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.344 to fraction form. In this case, 0.344 can be recognized as 344 thousandths. So, the fraction form of 0.344 is 344/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 344/1000 in its simplest form.