What is 0.336 as a fraction?
0.336 as a fraction is 336/1000 and its simplest form is 42/125.
Learn how to find what is 0.336 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 0.336 in its equivalent fraction form. It is required to recognize the decimal point 0.336 as 336 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.336 as a fraction and how it can be found easily.
Summary: 0.336 in fraction form
0.336 can be recognized as 336 thousandths, which can be represented as 336/1000 in fraction form. The simplest form of 336/1000 is 42/125. Therefore, 0.336 as a fraction is 42/125.
Write 0.336 as a fraction in simplest form.
0.336 = (?)
0.336 = 0.336/1
= (0.336/1) x (1000/1000) //0.336 can be recognized as 336 thousandths.
= 336/1000 //336 thousandths is equal to 336/1000 and it can be simplified further.
= (336/8)/(1000/8) //8 is the GCF of 336 and 1000. Divide both 336 and 1000 by the GCF 8 to simplify the fraction.
= 42/125
0.336 = 42/125
0.336 in its simplest fraction form is 42/125.
So, what is the fraction of 0.336?
It is 336/1000 in fraction. To simplify 336/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 336 by 8 gives 42,
and dividing 1000 by 8 gives 125. Thus, 336/1000 simplifies to 42/125
Refer to the step by step work further to learn how to find what is 0.336 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.336
What to be found:
What is 0.336 as a fraction in simplest form?
step 2 Write 0.336 as a simple fraction.
0.336/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.336/1.
Since the decimal 0.336 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.336/1 to make numerator as a whole number.
(0.336 x 1000)/(1 x 1000) = 336/1000
step 4
336 thousandths is the fraction form of 0.336, however, it can be reduced further. To simplify 336/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 336 and 1000 cancel each other.
336/1000 = (8 x 42)/(8 x 125)
= 42/125
336/1000 = 42/125
Hence,
0.336 as a fraction is 42/125.
Converting decimals like 0.336 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.336 to fraction form. In this case, 0.336 can be recognized as 336 thousandths. So, the fraction form of 0.336 is 336/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 336/1000 in its simplest form.